Divide with a remainder

Last lesson, you multiplied one place at a time and renamed into the next place. Today, we will divide one place at a time and name the quotient and remainder. Divide 95 by 4. Give the quotient and remainder. Set out the long division, with 95 inside and 4, the number we divide by, on the left. Start with the greatest place, the tens. Use the 4 times table: 4 times 1 is 4, smaller than 9, so it fits. 4 times 2 is 8, smaller than 9, so it fits. 4 times 3 is 12, greater than 9, so it is too big. The biggest that fits is 2, so write 2 on top. Each of the 4 groups gets 2 tens. Write 8 under the 9. 9 minus 8 is 1, so 1 ten is left. Bring down the 5 to make 15. On the discs, the 1 ten left is renamed as 10 ones, so we have 15 ones. Now 4 times 3 is 12, smaller than 15, so it fits. 4 times 4 is 16, greater than 15, so it is too big. The biggest that fits is 3, so write 3 on top. Each of the 4 groups gets 3 ones. Write 12 under the 15. 15 minus 12 is 3, so 3 ones are left over. 3 is smaller than 4, so we stop. The 23 on top is the quotient. The 3 at the bottom is the remainder. The quotient is 23 and the remainder is 3.

Divide six hundred and eighty-three by 3. Give the quotient and remainder. Try it first. Pause if you like. Set out the long division. Start with the hundreds: 3 times 2 is 6, so write 2 on top. Write 6 under the 6, then 6 minus 6 is 0. Bring down the 8. 3 times 2 is 6, the biggest that fits, so write 2 on top. Write 6 under the 8, then 8 minus 6 is 2. Bring down the 3 to make 23. Use the 3 times table: 3 times 7 is 21, smaller than 23, so it fits. 3 times 8 is 24, greater than 23, so it is too big. The biggest that fits is 7, so write 7 on top. Write 21 under the 23, then 23 minus 21 is 2. 2 is smaller than 3, so we stop. On top is the quotient, and at the bottom is the remainder. The quotient is two hundred and twenty-seven and the remainder is 2.

Divide six hundred and eighteen by 3. Give the quotient and remainder. Try it first. Pause if you like. Set out the long division. Start with the hundreds: 3 times 2 is 6, so write 2 on top. Write 6 under the 6, then 6 minus 6 is 0. Bring down the 1. Use the 3 times table: 3 times 1 is 3, greater than 1, so it is too big. Nothing fits, so write 0 on top. Write 0 under the 1, then 1 minus 0 is 1. Bring down the 8 to make 18. 3 times 6 is 18, so write 6 on top. Write 18 under the 18, then 18 minus 18 is 0. 0 is smaller than 3, so we stop. On top is the quotient, and at the bottom is the remainder. The quotient is two hundred and six and the remainder is 0. The quotient is the answer to the division, and the remainder is what is left over. The remainder must be smaller than the number we divide by.