Long Division Problem: Divide 72034 by 9 Step by Step

Video Solution

Solution Steps

00:04 Let's solve the problem.

00:07 Begin by dividing the first digit of the dividend.

00:11 Seven is less than nine, so let's add the next digit and divide.

00:16 Write the result on top, matching the position. No remainder yet.

00:21 Multiply the result with the divisor now.

00:23 Subtract this product from our number.

00:27 Bring down the next digit and repeat these steps.

00:31 Now, divide again.

00:34 Write your result above without the remainder.

00:38 Multiply the result, and subtract like before.

00:42 Time to bring down another digit and repeat.

00:45 Let's divide once more.

00:48 Write the result without considering the remainder.

00:52 Multiply your result and subtract as usual.

00:56 Bring down the next digit and keep going.

01:00 One last time, divide.

01:03 Place the result without the remainder above.

01:06 Multiply this result, and subtract again.

01:10 We have a remainder of seven.

01:16 And that's how we solve this 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.