Divisibility Test: Is 652023 Divisible by 6?

Video Solution

Solution Steps

00:00 Solve

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

00:07 5 is less than 6, so we'll add the next digit, and then divide

00:13 Write the result without remainder above, pay attention to the position,

00:18 Now multiply the result by the divisor

00:23 Subtract the product from the number

00:28 Now bring down the next digit and use the same steps

00:31 Divide

00:35 Write the result without remainder above, pay attention to the position,

00:38 Multiply the result, and subtract

00:44 Now bring down the next digit and use the same steps

00:48 Divide

00:52 Write the result without remainder above, pay attention to the position,

00:55 Multiply the result, and subtract

01:00 Now bring down the next digit and use the same steps

01:07 Divide

01:10 Write the result without remainder above, pay attention to the position,

01:14 Multiply the result, and subtract

01:17 We got a remainder of 3

01:22 And this is the solution to the problem

Step-by-Step Solution

To solve the problem of dividing 52023 by 6, follow these steps:

Step 1: Set up the division of 52023 by 6.
Step 2: Begin by seeing how many times 6 goes into the first digit(s). Since 6 does not go into 5, consider the first two digits, 52.
Step 3: Divide 52 by 6, which gives 8. Since 6 times 8 is 48, place 8 in the tens place, multiply, and subtract: 52 - 48 = 4.
Step 4: Bring down the next digit (0), making 40.
Step 5: Divide 40 by 6, which gives 6 since 6 times 6 is 36. Write 6 next to 8 in the quotient, multiply and subtract: 40 - 36 = 4.
Step 6: Bring down the next digit (2), making 42.
Step 7: Divide 42 by 6, which gives 7. Write 7 next to 66 in the quotient: 42 - 42 = 0.
Step 8: Bring down the final digit (3), making 3.
Step 9: 6 doesn't go into 3, so write a 0 in the quotient and the remainder is 3.

Performing the above steps, we find that dividing 52023 by 6 gives a quotient of $8670$ and a remainder of 3.

The final solution includes both the quotient and remainder:

$8670$ with a remainder of 3.