Question

Show how to use the least number of partial quotients to find 3,526 ÷ 4

Answer 1

To divide 3,526 by 4 using partial quotients, we separate each place value and divide it by 4, and then sum the results for the final quotient of 881 with a remainder of 2.

Step-by-step explanation:

To divide 3,526 by 4 using the least number of partial quotients, we break down the division into simpler steps that we can compute in our heads. Here's a step-by-step guide:

1. Look at the thousands place in 3,526. We can see that 3,000 divided by 4 gives us 750.
2. Next, consider the hundreds place. 500 divided by 4 is 125.
3. Now look at the tens place. 20 divided by 4 gives us 5.
4. Finally, look at the ones place. 6 divided by 4 is 1 with a remainder of 2.
5. Add up all the partial quotients: 750 + 125 + 5 + 1 = 881.
6. As we had a remainder of 2, the final answer including the remainder is 881 R2.

Therefore, 3,526 divided by 4 equals 881 with a remainder of 2.