Long Division Problem: Dividing 631 by 9 Step-by-Step

Video Solution

Solution Steps

00:10 Let's solve this problem together.

00:13 First, we'll divide the leftmost digit in the dividend.

00:17 Since 6 is smaller than 9, bring down the next digit, then divide.

00:22 Write the result above, in line with its column.

00:25 Next, multiply this result by the divisor.

00:29 Subtract the product from the current number.

00:33 Now, bring down the next digit and repeat the steps.

00:37 Divide the new number by the divisor.

00:40 Record the result without remainder above, paying attention to position.

00:45 Multiply your result and subtract again.

00:48 We've got a remainder of 1.

00:51 And that's how we solve this problem. Great job!

Step-by-Step Solution

To solve this problem, we will use the long division method on $631 \div 9$ .

Step 1: Observe the dividend $631$ and divisor $9$ .
Step 2: Start division with the leftmost digit of the dividend:
- $9$ into the first significant digit $6$ gives a quotient of $0$ (as $9 > 6$ ).
- Extend to the next digit for $63$ . Divide $63 \div 9 = 7$ , since $9 \times 7 = 63$ .
- Subtract: $63 - 63 = 0$ . Now, bring down the next digit $1$ .
- With the current remainder $1$ , dividing $1 \div 9$ gives zero quotient, remainder stays $1$ .
Final Step: Overall, $631 \div 9 = 70$ with a remainder of $1$ as $9 \times 70 + 1 = 631$ .

Therefore, the solution to the problem is $70$ with a remainder of $1$ .