Question

How do you divide using partial quotients?

Answer 1

Partial quotients is a division strategy that involves breaking a division problem into smaller parts. To divide using partial quotients, divide the closest multiple of the divisor to the dividend, subtract the quotient from the dividend to find the remainder, and repeat until there are no more digits to bring down.

Step-by-step explanation:

Partial quotients is a division strategy that involves breaking a division problem into smaller, more manageable parts. Here's how to divide using partial quotients:

1. Start by dividing the closest multiple of the divisor to the dividend.
2. Subtract this quotient from the dividend to find the remainder.
3. Repeat the process with the remainder until you have no more digits to bring down.
4. Add up all the quotients to find the final answer.

For example, let's divide 100 by 7 using partial quotients:

• 7 can go into 10 once, so the quotient is 1.
• Subtracting 7 from 10 leaves a remainder of 3.
• Since 7 can't go into 3, we bring down the next digit, which is 0.
• 7 can go into 30 four times, so the quotient is 4.
• Subtracting 28 (7 x 4) from 30 leaves a remainder of 2.
• Since 7 can't go into 2, we bring down the next digit, which is 0.
• 7 can go into 20 two times, so the quotient is 2.
• Subtracting 14 (7 x 2) from 20 leaves a remainder of 6.

Therefore, the quotient of 100 divided by 7 using partial quotients is 14 remainder 6.