Long Division Problem: Dividing 1305 by 4 Step-by-Step

Video Solution

Solution Steps

00:04 Let's solve the problem together.

00:07 Start by dividing the first number on the left.

00:11 One is less than four, so add the next digit. Then divide.

00:17 Write the answer above without the remainder.

00:20 Now multiply the answer by the divisor to continue.

00:24 Subtract the product from your current number.

00:29 Bring down the next digit and repeat the steps.

00:34 It's time to divide again.

00:36 Write the result above, keeping an eye on placement.

00:40 Multiply and subtract once more.

00:45 Bring down the next digit and repeat.

00:48 Divide once again.

00:51 Make sure you write the result in the correct spot.

00:57 Multiply and subtract to keep going.

01:02 We ended up with a remainder of one.

01:07 And that's how we solve 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.