Answer: To divide 4024 by 68 using partial quotients, you break down the division into smaller, easier steps. Here's a step-by-step process:
Step 1: How many times does 68 go into the thousands place of 4024?
68 goes into 4024 without exceeding 5 times because 68 * 5 = 340.
So, we start with a partial quotient of 5 and subtract 340 from 4024.
Step 2: Now, we have a remainder of 4024 - 340 = 3684.
We need to determine how many times 68 goes into the hundreds place of 3684.
68 goes into 3684 without exceeding 50 times because 68 * 50 = 3400.
Add this to your partial quotient: 5 (from Step 1) + 50 = 55.
Subtract 3400 from 3684, leaving you with a remainder of 284.
Step 3: Now, you have a remainder of 284.
We need to determine how many times 68 goes into the tens place of 284.
68 goes into 284 without exceeding 4 times because 68 * 4 = 272.
Add this to your partial quotient: 55 (from Step 2) + 4 = 59.
Subtract 272 from 284, leaving you with a remainder of 12.
Step 4: Now, you have a remainder of 12.
We need to determine how many times 68 goes into the ones place of 12.
68 doesn't go into 12 at all because it's smaller.
So, add 0 to your partial quotient.
Now, you have the final partial quotient: 590.
So, 4024 divided by 68 is equal to 59 with a remainder of 12, which you can write as:
4024 ÷ 68 = 59 R 12