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In the Common Core, dividing decimals to hundredths is grade 5 work, and so is moving the point when dividing by 10, 100 or 1,000; dividing any decimals with the written method is grade 6. Start with a decimal divided by a whole number, then by tenths, then by hundredths.

Dividing by a whole number

Write the point in the answer straight above the point in the number, then divide as with whole numbers: 8.46 ÷ 3 = 2.82. If the number runs out before the division ends, write a 0 after it and carry on: 3.6 is 3.60, and 3.60 ÷ 8 = 0.45. When the first digit is too small to divide, write 0 above it: 2.16 ÷ 4 = 0.54, and 6.24 ÷ 6 = 1.04, with a 0 for the 2 that 6 does not go into.

Dividing by a decimal

Move the point in the number you divide by until it is whole, and move the point in the other number the same number of places: 4.56 ÷ 0.3 becomes 45.6 ÷ 3 = 15.2, and 2.4 ÷ 0.06 becomes 240 ÷ 6 = 40. Both numbers are multiplied by the same 10 or 100, so the answer does not change. To check, multiply back: 15.2 × 0.3 = 4.56.

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