Divisibility Test: Is 652023 Divisible by 6?

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.