Long Division Problem: Dividing 171 by 9 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 9 is greater than 1, so we'll bring down the next digit and then divide

00:12 Write the result without the remainder above, pay attention to the position

00:15 Now multiply the result by the divisor

00:18 Subtract the product from the number

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

00:27 Divide

00:32 Write the result above

00:35 Multiply the result, subtract

00:41 We got a remainder of 0

00:45 And this is the solution to the problem

Step-by-Step Solution

We will use the long division method to solve for the quotient when dividing 171 by 9:

Step 1: Set up the division: Place 171 inside the division bracket, and 9 outside. We will divide 171 by 9.
Step 2: Divide the first digit: 9 goes into 17 once. Write 1 above the division line.
Step 3: Multiply and subtract: Multiply 1 by 9 to get 9. Subtract 9 from 17 to get a remainder of 8.
Step 4: Bring down the next digit: Bring down the next digit (1) from 171, resulting in 81.
Step 5: Divide the new number: 9 goes into 81 nine times. Write 9 next to the 1 above the division line.
Step 6: Multiply and subtract: Multiply 9 by 9 to get 81. Subtract 81 from 81, resulting in 0 as the final remainder.

The quotient of 171 divided by 9 is $\mathbf{19}$ .

Therefore, the solution to the problem is $19$ .