Long Division Problem: Dividing 1305 by 4 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 1 is less than 4, so we'll add the next digit and then divide

00:11 Write the result without the remainder above

00:14 Now multiply the result by the divisor

00:20 Subtract the product from the number

00:25 Now bring down the next digit and use the same steps

00:28 Divide

00:32 Write the result without the remainder above, pay attention to the position

00:35 Multiply the result and subtract

00:41 Now bring down the next digit and use the same steps

00:44 Divide

00:47 Write the result without the remainder above, pay attention to the position

00:53 Multiply the result and subtract

00:58 We got a remainder of 1

01:02 And this is the solution to the problem

Step-by-Step Solution

To solve the problem of dividing 1305 by 4, we will use long division.

Step-by-step solution:

Step 1: Divide the first digit of the dividend. 1 (in 1305) is less than 4, so we consider the first two digits, 13.
Step 2: Find how many times 4 goes into 13. It goes 3 times because $4 \times 3 = 12$ .
Step 3: Subtract 12 from 13, leaving a remainder of 1. Bring down the next digit, 0, to make it 10.
Step 4: Determine how many times 4 goes into 10. It goes 2 times because $4 \times 2 = 8$ .
Step 5: Subtract 8 from 10, leaving a remainder of 2. Bring down the next digit, 5, making it 25.
Step 6: See how many times 4 fits into 25. It goes 6 times because $4 \times 6 = 24$ .
Step 7: Subtract 24 from 25, which leaves a remainder of 1.

The quotient from the division is 326, and the remainder is 1.

Therefore, the solution to the division of 1305 by 4 is $326$ with a remainder of 1.