Find the quotient for 19,386 divided by 23

Find the quotient for 19,386 divided by 23

The correct answer and explanation is:

The quotient of 19,386 divided by 23 is 843.

Here’s how to approach this division:

1. Set Up the Problem: You are dividing 19,386 by 23. This is a simple long division problem.
2. Divide the First Digit: Start by dividing the first digit of 19,386, which is 1, by 23. Since 23 doesn’t fit into 1, you move on to the next digits.
3. Divide 19 by 23: Now consider the first two digits, which are 19. Again, 23 doesn’t fit into 19, so you move on to the next digit. This gives you 193.
4. Divide 193 by 23: Now, divide 193 by 23. 23 fits into 193 a total of 8 times (because 23 × 8 = 184). Write 8 above the line.
5. Subtract: Subtract 184 from 193. 193 – 184 = 9. Now, bring down the next digit (8) to get 98.
6. Divide 98 by 23: Next, divide 98 by 23. 23 fits into 98 a total of 4 times (because 23 × 4 = 92). Write 4 above the line.
7. Subtract: Subtract 92 from 98. 98 – 92 = 6. Bring down the next digit (6) to get 66.
8. Divide 66 by 23: Finally, divide 66 by 23. 23 fits into 66 a total of 2 times (because 23 × 2 = 46). Write 2 above the line.
9. Final Subtraction: Subtract 46 from 66. 66 – 46 = 20. Since there are no more digits to bring down, the remainder is 20.

Thus, the quotient is 843 with a remainder of 20.

This process involves sequentially dividing the number, multiplying, subtracting, and bringing down digits until the entire dividend is processed. The result of this division is a quotient of 843 with a remainder of 20.