Long Division Problem: Dividing 5409 by 6 Step-by-Step

Video Solution

Solution Steps

00:00 Solve

00:03 Let's start by dividing the leftmost digit in the divisor

00:09 5 is less than 6, so we'll add the next digit, and then divide

00:12 Write the result without the remainder above, pay attention to the position

00:15 Now multiply the result by the divisor

00:18 Subtract the product from the number

00:24 Now bring down the next digit and use the same steps

00:27 Divide

00:30 Write the result without the remainder above, pay attention to the position

00:35 Multiply the result and subtract

00:39 Now bring down the next digit and use the same steps

00:42 Divide

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

00:51 Multiply the result and subtract

00:57 We got a remainder of 3

01:04 And this is the solution to the problem

Step-by-Step Solution

To solve the problem, we will use long division to divide 5409 by 6:

Step 1: Identify the first digit of the dividend (5), which is less than 6. Combine it with the next digit (4) to make 54.
Step 2: Divide 54 by 6, which goes 9 times. Write 9 as the first digit of the quotient.
Step 3: Subtract $9 \times 6 = 54$ from 54, leading to a remainder of 0. Bring down the next digit (0).
Step 4: Divide the resulting 0 by 6. It goes 0 times, so write 0 in the quotient.
Step 5: Bring down the last digit (9).
Step 6: Divide 9 by 6, which goes 1 time. Write 1 as the next digit of the quotient.
Step 7: Subtract $1 \times 6 = 6$ from 9, resulting in a remainder of 3.

The quotient is 901, and the remainder is 3.

Therefore, the solution to the problem is $901$ with a remainder of 3.