Long Division Problem: Divide 878 by 6 Step-by-Step

Video Solution

Solution Steps

00:00 Solve

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

00:07 Write the result without remainder above

00:13 Now multiply the result by the divisor

00:17 Subtract the product from the digit

00:22 Now bring down the next digit below and use the same steps

00:25 Divide

00:29 Write the result without remainder above

00:34 Multiply the result and subtract

00:41 Now bring down the next digit below and use the same steps

00:47 Divide

00:53 Write the result without remainder above

00:59 Multiply the result and subtract

01:05 We got a remainder of 2

01:08 And this is the solution to the problem

Step-by-Step Solution

To solve this problem, we need to perform long division on 878 by 6 to find the quotient and remainder.

First, examine how many times 6 fits into the digits of 878 from left to right.

Step 1: Determine how many times 6 fits into the first part of 878. 6 fits into 8 once. Below the 8, write 6, because $6 \times 1 = 6$ .
Subtract 6 from 8, which gives a remainder of 2. Bring down the next digit, 7, making the number 27.
Step 2: Determine how many times 6 fits into 27. 6 fits into 27 four times. Below the 27, write 24, because $6 \times 4 = 24$ .
Subtract 24 from 27, which gives a remainder of 3. Bring down the last digit, 8, making the number 38.
Step 3: Determine how many times 6 fits into 38. 6 fits into 38 six times. Below the 38, write 36, because $6 \times 6 = 36$ .
Subtract 36 from 38, which gives a final remainder of 2.

Thus, the quotient is 146 with a remainder of 2.

Therefore, the solution to the problem is $146$ with a remainder of 2.