Step-by-step Maths Level 4 Division as sharing and grouping: check-up and practice test questions

Method. Division is the inverse of multiplication. Use the times table fact to find the division.

1. Write the fact: 8 × 4 = 32. This is the multiplication we know.
   8 × 4 = 32
2. Turn it round to division. Division undoes multiplication, so the total is shared into groups of the same size.
   32 ÷ 8 = 4
3. Write the answer. The number of groups is the answer.
   4

Check. Check: 4 × 8 = 32, so 32 ÷ 8 = 4.

Watch out. Use the multiplication you know. The same three numbers make the division.

Method. An array shows equal groups. Divide the total by the number of rows to find the number in each row.

1. Read the array. The dots are in equal rows.
   3 rows, 12 dots
2. Share the dots into the rows. Each row has the same number of dots.
   12 ÷ 3 = 4
3. Check with multiplication. Rows × dots in each row gives the total.
   3 × 4 = 12
4. Write the answer. This is the number in each row.
   4

Check. Check: 3 rows of 4 make 12.

Watch out. The number of rows is the divisor. Each row is one equal group.

Method. Grouping: count how many groups of the size you are given can be made from the total.

1. Count in 3s until you reach 27. Each bag takes 3. Count one bag at a time.
   3, 6, 9, 12, 15, 18, 21, 24, 27
2. Count the bags. Each count is one full bag of 3.
   9 bags
3. Write the answer. This is the number of bags.
   9

Check. Check: 9 × 3 = 27.

Watch out. In grouping, you are given the size of each group and you find the number of groups.

Method. An array shows equal groups. Divide the total by the number of rows to find the number in each row.

1. Read the array. The dots are in equal rows.
   4 rows, 32 dots
2. Share the dots into the rows. Each row has the same number of dots.
   32 ÷ 4 = 8
3. Check with multiplication. Rows × dots in each row gives the total.
   4 × 8 = 32
4. Write the answer. This is the number in each row.
   8

Check. Check: 4 rows of 8 make 32.

Watch out. The number of rows is the divisor. Each row is one equal group.

Method. Grouping: count how many groups of the size you are given can be made from the total.

1. Count in 3s until you reach 6. Each bag takes 3. Count one bag at a time.
   3, 6
2. Count the bags. Each count is one full bag of 3.
   2 bags
3. Write the answer. This is the number of bags.
   2

Check. Check: 2 × 3 = 6.

Watch out. In grouping, you are given the size of each group and you find the number of groups.

Method. Division is the inverse of multiplication. Use the times table fact to find the division.

1. Write the fact: 9 × 11 = 99. This is the multiplication we know.
   9 × 11 = 99
2. Turn it round to division. Division undoes multiplication, so the total is shared into groups of the same size.
   99 ÷ 9 = 11
3. Write the answer. The number of groups is the answer.
   11

Check. Check: 11 × 9 = 99, so 99 ÷ 9 = 11.

Watch out. Use the multiplication you know. The same three numbers make the division.

Method. Grouping: count how many groups of the size you are given can be made from the total.

1. Count in 2s until you reach 16. Each bag takes 2. Count one bag at a time.
   2, 4, 6, 8, 10, 12, 14, 16
2. Count the bags. Each count is one full bag of 2.
   8 bags
3. Write the answer. This is the number of bags.
   8

Check. Check: 8 × 2 = 16.

Watch out. In grouping, you are given the size of each group and you find the number of groups.

Method. Sharing: put the same number into each group. Divide the total by the number of groups.

1. Count the friends. Each friend gets the same number.
   8 friends
2. Share the items one at a time. Put one in each group, then start again until none are left.
   32 shared into 8 groups
3. Count the items in one group. Each group has the same number.
   32 ÷ 8 = 4
4. Write the answer. This is how many each friend gets.
   4

Check. Check: 4 × 8 = 32.

Watch out. The number of friends is the number of groups, not the number in each group.

Method. Sharing: put the same number into each group. Divide the total by the number of groups.

1. Count the friends. Each friend gets the same number.
   2 friends
2. Share the items one at a time. Put one in each group, then start again until none are left.
   4 shared into 2 groups
3. Count the items in one group. Each group has the same number.
   4 ÷ 2 = 2
4. Write the answer. This is how many each friend gets.
   2

Check. Check: 2 × 2 = 4.

Watch out. The number of friends is the number of groups, not the number in each group.

Method. Sharing: put the same number into each group. Divide the total by the number of groups.

1. Count the friends. Each friend gets the same number.
   6 friends
2. Share the items one at a time. Put one in each group, then start again until none are left.
   54 shared into 6 groups
3. Count the items in one group. Each group has the same number.
   54 ÷ 6 = 9
4. Write the answer. This is how many each friend gets.
   9

Check. Check: 9 × 6 = 54.

Watch out. The number of friends is the number of groups, not the number in each group.

Method. Each table connects to the same number of chairs. Find how many groups of the table size make the total.

1. Work out what we need to find. We need the number of tables.
   32 places in all
2. Count in 4s until you reach 32. Each table takes 4 places.
   4, 8, 12, 16, 20, 24, 28, 32
3. Count the tables. Each count is one table.
   8 tables
4. Write the answer. This is the number of tables.
   8

Check. Check: 8 tables × 4 places = 32.

Watch out. Each table is one group. The question asks for the number of groups.

Method. Grouping: count how many groups of the size you are given can be made from the total.

1. Count in 2s until you reach 16. Each bag takes 2. Count one bag at a time.
   2, 4, 6, 8, 10, 12, 14, 16
2. Count the bags. Each count is one full bag of 2.
   8 bags
3. Write the answer. This is the number of bags.
   8

Check. Check: 8 × 2 = 16.

Watch out. In grouping, you are given the size of each group and you find the number of groups.

Method. Grouping: count how many groups of the size you are given can be made from the total.

1. Count in 4s until you reach 28. Each bag takes 4. Count one bag at a time.
   4, 8, 12, 16, 20, 24, 28
2. Count the bags. Each count is one full bag of 4.
   7 bags
3. Write the answer. This is the number of bags.
   7

Check. Check: 7 × 4 = 28.

Watch out. In grouping, you are given the size of each group and you find the number of groups.

Method. An array shows equal groups. Divide the total by the number of rows to find the number in each row.

1. Read the array. The dots are in equal rows.
   2 rows, 4 dots
2. Share the dots into the rows. Each row has the same number of dots.
   4 ÷ 2 = 2
3. Check with multiplication. Rows × dots in each row gives the total.
   2 × 2 = 4
4. Write the answer. This is the number in each row.
   2

Check. Check: 2 rows of 2 make 4.

Watch out. The number of rows is the divisor. Each row is one equal group.

Method. Division is the inverse of multiplication. Use the times table fact to find the division.

1. Write the fact: 3 × 6 = 18. This is the multiplication we know.
   3 × 6 = 18
2. Turn it round to division. Division undoes multiplication, so the total is shared into groups of the same size.
   18 ÷ 3 = 6
3. Write the answer. The number of groups is the answer.
   6

Check. Check: 6 × 3 = 18, so 18 ÷ 3 = 6.

Watch out. Use the multiplication you know. The same three numbers make the division.

Method. Division is the inverse of multiplication. Use the times table fact to find the division.

1. Write the fact: 6 × 8 = 48. This is the multiplication we know.
   6 × 8 = 48
2. Turn it round to division. Division undoes multiplication, so the total is shared into groups of the same size.
   48 ÷ 6 = 8
3. Write the answer. The number of groups is the answer.
   8

Check. Check: 8 × 6 = 48, so 48 ÷ 6 = 8.

Watch out. Use the multiplication you know. The same three numbers make the division.

Method. Sharing: put the same number into each group. Divide the total by the number of groups.

1. Count the friends. Each friend gets the same number.
   8 friends
2. Share the items one at a time. Put one in each group, then start again until none are left.
   72 shared into 8 groups
3. Count the items in one group. Each group has the same number.
   72 ÷ 8 = 9
4. Write the answer. This is how many each friend gets.
   9

Check. Check: 9 × 8 = 72.

Watch out. The number of friends is the number of groups, not the number in each group.

Method. An array shows equal groups. Divide the total by the number of rows to find the number in each row.

1. Read the array. The dots are in equal rows.
   5 rows, 25 dots
2. Share the dots into the rows. Each row has the same number of dots.
   25 ÷ 5 = 5
3. Check with multiplication. Rows × dots in each row gives the total.
   5 × 5 = 25
4. Write the answer. This is the number in each row.
   5

Check. Check: 5 rows of 5 make 25.

Watch out. The number of rows is the divisor. Each row is one equal group.

Method. An array shows equal groups. Divide the total by the number of rows to find the number in each row.

1. Read the array. The dots are in equal rows.
   2 rows, 6 dots
2. Share the dots into the rows. Each row has the same number of dots.
   6 ÷ 2 = 3
3. Check with multiplication. Rows × dots in each row gives the total.
   2 × 3 = 6
4. Write the answer. This is the number in each row.
   3

Check. Check: 2 rows of 3 make 6.

Watch out. The number of rows is the divisor. Each row is one equal group.

Method. An array shows equal groups. Divide the total by the number of rows to find the number in each row.

1. Read the array. The dots are in equal rows.
   6 rows, 36 dots
2. Share the dots into the rows. Each row has the same number of dots.
   36 ÷ 6 = 6
3. Check with multiplication. Rows × dots in each row gives the total.
   6 × 6 = 36
4. Write the answer. This is the number in each row.
   6

Check. Check: 6 rows of 6 make 36.

Watch out. The number of rows is the divisor. Each row is one equal group.