Long Division Problem: Solving 5 ÷ 6394 Step by Step

Video Solution

Solution Steps

00:00 Solve

00:04 Let's start by dividing the leftmost digit in the dividend

00:09 Write the result without the remainder above

00:13 Now multiply the result by the divisor

00:16 Subtract the product from the number

00:21 Now bring down the next digit and use the same steps

00:25 Divide

00:28 Write the result without the remainder above, pay attention to placement

00:32 Multiply the result, and subtract

00:38 Now bring down the next digit and use the same steps

00:42 Divide

00:45 Write the result without the remainder above, pay attention to placement

00:51 Multiply the result, and subtract

00:58 Now bring down the next digit and use the same steps

01:03 Divide

01:07 Write the result without the remainder above, pay attention to placement

01:11 Multiply the result, and subtract

01:16 We got a remainder of 4

01:20 And this is the solution to the problem

Step-by-Step Solution

To solve this problem, we'll perform a long division of 6394 by 5.

Step 1: Divide the first digit of 6394, which is 6, by 5. The largest whole number of times 5 can go into 6 is 1. Write 1 above the division bar.
Multiply 1 by 5, resulting in 5, and subtract this from 6 to get a remainder of 1. Bring down the next digit, 3, to make 13.
Step 2: Divide 13 by 5. The largest whole number of times 5 can go into 13 is 2. Write 2 above the division bar next to 1.
Multiply 2 by 5, resulting in 10, and subtract this from 13 to get a remainder of 3. Bring down the next digit, 9, to make 39.
Step 3: Divide 39 by 5. The largest whole number of times 5 can go into 39 is 7. Write 7 alongside the previous digits in the quotient.
Multiply 7 by 5, resulting in 35, and subtract this from 39 to get a remainder of 4. Bring down the last digit, 4, to make 44.
Step 4: Divide 44 by 5. The largest whole number of times 5 can go into 44 is 8. Write 8 in the quotient space.
Multiply 8 by 5, which equals 40, and subtract this from 44 to leave a final remainder of 4.

In summary, the quotient from dividing 6394 by 5 is 1278, with a remainder of 4.

Therefore, the solution to the problem is $1278$ with a remainder of 4.