Example Question - dividend and divisor

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Long Division: Dividing 7,840,026 by 23

The image shows a long division problem where the divisor is 23, and the dividend is 7,840,026. To solve this division problem, we must divide the dividend by the divisor. Here's how we perform the division: 1. Start by dividing the first two digits of the dividend (78) by the divisor (23). 78 divided by 23 equals 3 with a remainder of 9. Write the 3 above the line, and this becomes the first digit of the quotient. 2. Multiply the divisor (23) by the first digit of the quotient (3), which equals 69, and subtract this from the first two digits of the dividend (78), leaving a remainder of 9. 3. Bring down the next digit from the dividend, which is 4, making the new number 94. 4. Divide 94 by the divisor (23), which equals 4 with no remainder. Write the 4 in the quotient above the dividend next to the 3. 5. Multiply the divisor (23) by the new digit in the quotient (4) to get 92. Subtract this from 94 to get a remainder of 2. Since there was no remainder in the division step, you can actually skip this subtraction and bring down the next digit. 6. Bring down the next digit from the dividend, which is 0, making the new number 20. 7. Divide 20 by the divisor (23), but since 20 is less than 23, you cannot divide further. Instead, you write a 0 in the quotient and bring down the next digit of the dividend. 8. Bring down the next digit, which is a 0, making the new number 200. 9. Divide 200 by the divisor (23), which equals 8 with a remainder of 16. Write the 8 in the quotient. 10. Multiply the divisor (23) by the new digit in the quotient (8) to get 184. Subtract this from 200 to get a remainder of 16. 11. Finally, bring down the last digit from the dividend, which is 6, making the new number 166. 12. Divide 166 by the divisor (23), which equals 7 with a remainder of 5. Write the 7 in the quotient. 13. Now, all the digits from the dividend have been brought down and divided. The final quotient is 340,087, and a remainder of 5 is left over. So, 7,840,026 divided by 23 is 340,087 with a remainder of 5.

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