Long Division Problem: Divide 72034 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

00:07 7 is less than 9, so we'll add the next digit and then divide

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

00:16 Now multiply the result by the divisor

00:19 Subtract the product from the number

00:23 Now bring down the next digit and use the same steps

00:26 Divide

00:30 Write the result without the remainder above, pay attention to the position

00:34 Multiply the result, and subtract

00:38 Now bring down the next digit and use the same steps

00:40 Divide

00:44 Write the result without the remainder above, pay attention to the position

00:48 Multiply the result, and subtract

00:51 Now bring down the next digit and use the same steps

00:54 Divide

00:58 Write the result without the remainder above, pay attention to the position

01:02 Multiply the result, and subtract

01:06 We got a remainder of 7

01:12 And this is the solution to the problem

Step-by-Step Solution

To solve this division problem, follow these steps:

Step 1: Divide the first digit of the dividend (7) by the divisor (9). Since 9 is greater than 7, we can't divide 7, so we consider the first two digits, 72.
Step 2: Divide 72 by 9. The result is 8 (since $8 \times 9 = 72$ ). Subtract 72 from 72 to get a remainder of 0.
Step 3: Bring down the next digit of the dividend (0), making it 0.
Step 4: Divide 0 by 9. The result is 0, as $0 \times 9 = 0$ . Subtract 0 from 0 to still get a remainder of 0.
Step 5: Bring down the next digit (3). Divide 3 by 9 to get 0 (since $0 \times 9 = 0$ ). Subtract 0 from 3 to get a remainder of 3.
Step 6: Bring down the final digit (4), making it 34.
Step 7: Divide 34 by 9, which goes 3 times (since $3 \times 9 = 27$ ). Subtract 27 from 34 to get a remainder of 7.

The process gives us a quotient of 8003 and a remainder of 7. Thus, the division of 72034 by 9 yields:

$8003$ with a remainder of 7.