Year 6 Arithmetic (SATs): Dividing decimals by whole numbers

Method. Divide as whole numbers, then place the decimal point.

1. Divide the digits as a whole number. 684 ÷ 4 = 171 remainder 0.
   684 ÷ 4 = 171 r 0
2. Place the decimal point. Put the point in the answer directly above the point in 6.84, and count the places.
   6.84 ÷ 4 = 1.71
3. Write the answer.
   1.71

Check. 1.71 × 4 = 6.84. ✓

Method. Divide as whole numbers, then place the decimal point.

1. Divide the digits as a whole number. 36 ÷ 8 = 4 remainder 4.
   36 ÷ 8 = 4 r 4
2. Bring down a zero and keep dividing. The remainder becomes 40, and 8 goes in 5 times.
   40 ÷ 8 = 5 r 0
3. Place the decimal point. Put the point in the answer directly above the point in 3.6, and count the places.
   3.6 ÷ 8 = 0.45
4. Write the answer.
   0.45

Check. 0.45 × 8 = 3.6. ✓

Method. Divide as whole numbers, then place the decimal point.

1. Divide the digits as a whole number. 9 ÷ 6 = 1 remainder 3.
   9 ÷ 6 = 1 r 3
2. Bring down a zero and keep dividing. The remainder becomes 30, and 6 goes in 5 times.
   30 ÷ 6 = 5 r 0
3. Place the decimal point. Put the point in the answer directly above the point in 0.9, and count the places.
   0.9 ÷ 6 = 0.15
4. Write the answer.
   0.15

Check. 0.15 × 6 = 0.9. ✓

Method. Divide as whole numbers, then place the decimal point.

1. Divide the digits as a whole number. 75 ÷ 6 = 12 remainder 3.
   75 ÷ 6 = 12 r 3
2. Bring down a zero and keep dividing. The remainder becomes 30, and 6 goes in 5 times.
   30 ÷ 6 = 5 r 0
3. Place the decimal point. Put the point in the answer directly above the point in 7.5, and count the places.
   7.5 ÷ 6 = 1.25
4. Write the answer.
   1.25

Check. 1.25 × 6 = 7.5. ✓

Method. Divide as whole numbers, then place the decimal point.

1. Divide the digits as a whole number. 96 ÷ 12 = 8 remainder 0.
   96 ÷ 12 = 8 r 0
2. Place the decimal point. Put the point in the answer directly above the point in 9.6, and count the places.
   9.6 ÷ 12 = 0.8
3. Write the answer.
   0.8

Check. 0.8 × 12 = 9.6. ✓

Method. Divide as whole numbers, then place the decimal point.

1. Divide the digits as a whole number. 48 ÷ 6 = 8 remainder 0.
   48 ÷ 6 = 8 r 0
2. Place the decimal point. Put the point in the answer directly above the point in 0.48, and count the places.
   0.48 ÷ 6 = 0.08
3. Write the answer.
   0.08

Check. 0.08 × 6 = 0.48. ✓

Method. Divide as whole numbers, then place the decimal point.

1. Divide the digits as a whole number. 126 ÷ 4 = 31 remainder 2.
   126 ÷ 4 = 31 r 2
2. Bring down a zero and keep dividing. The remainder becomes 20, and 4 goes in 5 times.
   20 ÷ 4 = 5 r 0
3. Place the decimal point. Put the point in the answer directly above the point in 12.6, and count the places.
   12.6 ÷ 4 = 3.15
4. Write the answer.
   3.15

Check. 3.15 × 4 = 12.6. ✓

Method. Divide as whole numbers, then place the decimal point.

1. Divide the digits as a whole number. 54 ÷ 9 = 6 remainder 0.
   54 ÷ 9 = 6 r 0
2. Place the decimal point. Put the point in the answer directly above the point in 5.4, and count the places.
   5.4 ÷ 9 = 0.6
3. Write the answer.
   0.6

Check. 0.6 × 9 = 5.4. ✓

Method. Divide as whole numbers, then place the decimal point.

1. Divide the digits as a whole number. 42 ÷ 6 = 7 remainder 0.
   42 ÷ 6 = 7 r 0
2. Place the decimal point. Put the point in the answer directly above the point in 4.2, and count the places.
   4.2 ÷ 6 = 0.7
3. Write the answer.
   0.7

Check. 0.7 × 6 = 4.2. ✓

Method. Divide as whole numbers, then place the decimal point.

1. Divide the digits as a whole number. 84 ÷ 4 = 21 remainder 0.
   84 ÷ 4 = 21 r 0
2. Place the decimal point. Put the point in the answer directly above the point in 8.4, and count the places.
   8.4 ÷ 4 = 2.1
3. Write the answer.
   2.1

Check. 2.1 × 4 = 8.4. ✓

Method. Divide the money by 6.

1. Divide the digits as a whole number. 540 ÷ 6 = 90 remainder 0.
   540 ÷ 6 = 90 r 0
2. Place the decimal point. Put the point in the answer directly above the point in 5.40, and count the places.
   5.40 ÷ 6 = 0.9
3. Write the answer.
   £0.9

Check. £0.9 × 6 = £5.40. ✓

Method. Divide 8.4 by 4.

1. Divide the digits as a whole number. 84 ÷ 4 = 21 remainder 0.
   84 ÷ 4 = 21 r 0
2. Place the decimal point. Put the point in the answer directly above the point in 8.4, and count the places.
   8.4 ÷ 4 = 2.1
3. Write the answer.
   2.1 m

Check. 2.1 × 4 = 8.4. ✓

Method. Dividing by 10 moves digits one place to the right.

1. Check the first division. 3.6 ÷ 2 = 1.8.
   1.8
2. Divide by 10 more. 1.8 ÷ 10 = 0.18.
   0.18
3. Write the answer.
   Yes, because dividing by 20 is 10 times smaller than dividing by 2, so 1.8 ÷ 10 = 0.18.

Check. 0.18 × 20 = 3.6. ✓

Method. Divide 27 by 9, then place the point.

1. Divide the digits as a whole number. 27 ÷ 9 = 3 remainder 0.
   27 ÷ 9 = 3 r 0
2. Place the decimal point. Put the point in the answer directly above the point in 2.7, and count the places.
   2.7 ÷ 9 = 0.3
3. Write the answer.
   0.3

Check. 0.3 × 9 = 2.7. ✓

Method. Divide 108 by 6, then place the point.

1. Divide the digits as a whole number. 108 ÷ 6 = 18 remainder 0.
   108 ÷ 6 = 18 r 0
2. Place the decimal point. Put the point in the answer directly above the point in 10.8, and count the places.
   10.8 ÷ 6 = 1.8
3. Write the answer.
   1.8

Check. 1.8 × 6 = 10.8. ✓

Method. Divide 72 by 8, then place the point.

1. Divide the digits as a whole number. 72 ÷ 8 = 9 remainder 0.
   72 ÷ 8 = 9 r 0
2. Place the decimal point. Put the point in the answer directly above the point in 7.2, and count the places.
   7.2 ÷ 8 = 0.9
3. Write the answer.
   0.9

Check. 0.9 × 8 = 7.2. ✓