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

Video Solution

Solution Steps

00:06 Let's solve this!

00:09 Start by dividing the first digit by the divisor.

00:13 Write the result on top, without any remainder.

00:19 Next, multiply that result by the divisor.

00:23 Now subtract the product from the first digit.

00:28 Bring down the next digit and repeat the steps.

00:32 Divide the number formed.

00:35 Enter the result above without the remainder.

00:40 Multiply it by the divisor and subtract.

00:47 Bring down the next digit, and start again.

00:53 Divide with the new number.

00:59 Write the result on top, without remainder.

01:05 Multiply and subtract again.

01:11 We have a remainder of two.

01:14 And that's 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.