Long Division Problem: Divide 816 by 5

Video Solution

Solution Steps

00:04 Let's solve this problem together!

00:07 Start by dividing the first digit of the dividend.

00:11 Write the answer on top, leaving out any remainder.

00:16 Next, multiply that answer by the divisor.

00:19 Subtract the result from your number.

00:23 Bring down the next digit, and repeat.

00:26 Divide again. You've got this!

00:30 Write your answer above, in the correct spot.

00:34 Multiply your answer by the divisor, and subtract.

00:42 Bring down the next digit, and keep going.

00:45 Divide once more. Almost there!

00:51 Carefully write your answer above, in place.

00:58 Multiply, and subtract. You're doing great!

01:04 We have a remainder of 1.

01:09 And that's how we solve the problem. Well done!

Step-by-Step Solution

To solve the problem, we will perform a long division of 816 by 5.

Let's go through the steps of long division:

Step 1: Divide the first digit of the dividend: $8 \div 5 = 1$ . The quotient so far is 1.
Step 2: Multiply 1 (quotient) by 5 (divisor) to get 5.
Step 3: Subtract 5 from 8 which gives a remainder of 3. Bring down the next digit (1) to make it 31.
Step 4: Divide 31 by 5. $31 \div 5 = 6$ remainder 1. The quotient now is 16.
Step 5: Multiply 6 (newest quotient digit) by 5 to get 30.
Step 6: Subtract 30 from 31 which leaves a remainder of 1. Bring down the last digit (6) of the original number to make it 16.
Step 7: Divide 16 by 5. $16 \div 5 = 3$ remainder 1. Add 3 to the quotient making it 163.
Step 8: Multiplying 3 by 5, we get 15.
Step 9: Subtract 15 from 16 to get a final remainder of 1.

This implies the complete division yields a quotient of 163 with a remainder of 1.

Therefore, the solution to the problem is $163$ with a remainder of 1.