Long Division Problem: Dividing 631 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

00:06 6 is less than 9, so we'll bring down the next digit, and then divide

00:11 Write the result above, pay attention to the position

00:14 Now multiply the result by the divisor

00:18 Subtract the product from the number

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

00:26 Divide

00:29 Write the result without remainder above, pay attention to the position

00:33 Multiply the result and subtract

00:36 We got a remainder of 1

00:39 And this is the solution to the problem

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 $1$ .