Long Division Solution: Dividing 1608 by 20

When dividing the numbers 1608 and 20, the result is a quotient of 80 and a remainder of 8. This division can be easily performed using the long division method, which ensures a systematic and straightforward approach to division problems.

Understanding the Division Process

Let's break down the long division process step by step to explain how we arrive at the quotient and remainder when dividing 1608 by 20.

Step-by-Step Breakdown

Setup the Problem:

Arrange the problem as: 1608 ÷ 20.

Partial Division:

Start by considering the first two digits of the dividend, which are 16. Since 16 is less than the divisor (20), we take the first three digits of the dividend, which are 160.

Divide: 160 ÷ 20 8 (since 20 goes into 160 exactly 8 times). The partial quotient is 8, and the remainder is 0 because 160 is completely divisible by 20.

Bring Down Next Digit:

Now bring down the next digit from the dividend, which is 8, making the current number 8.

Divide: 8 ÷ 20 0 (since 20 does not go into 8 even once). The partial quotient is 0, and the remainder is 8.

Combine Quotients:

The full quotient is formed by combining the partial quotients, which are 80.

Therefore, the long division equation is: 1608 ÷ 20 80 R 8, where R represents the remainder.

Verification

To ensure the accuracy of the long division, we can perform a check:

80 × 20 8 1600 8 1608

This confirms that our quotient and remainder are correct.

Conclusion

Understanding the long division process is essential for solving complex division problems. The steps are as follows:

Arrange the division problem Perform partial division for the first two digits (if necessary) Bring down the next digit and continue the process until all digits of the dividend have been processed Combine the partial quotients to form the full quotient and ensure the accuracy with a remainder

Mastering this method allows for accurate and efficient division performance, making it an invaluable skill in mathematics and beyond.