Long Division Problem: Dividing 20416 by 8 Step-by-Step

Video Solution

Solution Steps

00:00 Solve

00:03 Let's start by dividing the leftmost digit in the dividend

00:08 2 is less than 8, so we'll include the next digit, and then divide

00:12 Write the result without remainder above, paying attention to placement

00:15 Now multiply the result by the divisor

00:19 Subtract the product from the number

00:25 Now bring down the next digit and repeat the same steps

00:28 Divide

00:32 Write the result without remainder above, paying attention to placement

00:37 Multiply the result, and subtract

00:42 Now bring down the next digit and repeat the same steps

00:47 Divide

00:52 Write the result without remainder above, paying attention to placement

00:59 Multiply the result, and subtract

01:06 Now bring down the next digit and repeat the same steps

01:11 Divide

01:16 Write the result above, paying attention to placement

01:19 Multiply the result, and subtract

01:22 We got a remainder of 0

01:25 And this is the solution to the problem

Step-by-Step Solution

To solve this problem, we'll employ the long division method:

Step 1: Divide the first part of the number that is greater than or equal to the divisor. Start with 20 (from 20416).
Step 2: $20 \div 8 = 2$ . Write 2 as the part of the quotient. Multiply: $2 \times 8 = 16$ . Subtract $16$ from $20$ to get $4$ .
Step 3: Bring down the next digit from the dividend (20416), making it $44$ .
Step 4: $44 \div 8 = 5$ . Write 5 to the quotient. Multiply: $5 \times 8 = 40$ . Subtract $40$ from $44$ to get $4$ .
Step 5: Bring down the next digit, making it $41$ .
Step 6: $41 \div 8 = 5$ . Write 5 to the quotient. Multiply: $5 \times 8 = 40$ . Subtract $40$ from $41$ to get $1$ .
Step 7: Bring down the next digit, making it $16$ .
Step 8: $16 \div 8 = 2$ . Write 2 to the quotient. Multiply: $2 \times 8 = 16$ . Subtract $16$ from $16$ to get $0$ .

The complete quotient of $20416 \div 8$ is $2552$ , with no remainder. Therefore, the selected answer is the correct one.

The solution to the division is $2552$ .