Long Division Problem: Divide 325 by 14 Step-by-Step

Video Solution

Solution Steps

00:00 Solve

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

00:07 3 is less than 14, so we'll add the next digit and then divide

00:14 Write the result without the remainder above, paying attention to position

00:17 Now multiply the result by the divisor

00:21 Subtract the product from the number

00:27 Now bring down the next digit below and use the same steps

00:30 Divide

00:36 Write the result without the remainder above, paying attention to position

00:41 Multiply the result and subtract

00:49 We got a remainder of 3

00:54 And this is the solution to the problem

Step-by-Step Solution

To solve this problem, we'll conduct a long division of 325 by 14 step by step:

Step 1: Determine how many times 14 fits into the first one or two digits of 325.
Step 2: The first part of 325 we consider is 32 (as 14 is larger than 3). 14 fits into 32 two times because $14 \times 2 = 28$ and $14 \times 3 = 42$ , which is too large. Write 2 as part of the quotient.
Step 3: Subtract $28$ from $32$ to get $4$ .
Step 4: Bring down the next digit of the dividend, which is 5, forming 45.
Step 5: Determine how many times 14 fits into 45. It fits three times, since $14 \times 3 = 42$ and $14 \times 4 = 56$ is too large. Write 3 as part of the quotient.
Step 6: Subtract $42$ from $45$ to get $3$ .
Step 7: There are no more digits to bring down from the dividend, so the remainder is 3.

The quotient of $325 \div 14$ is $23$ with a remainder of $3$ .

Therefore, the solution to the problem is $23$ with a remainder of $3$ .