Division using partial quotients worksheet with two-digit dividends and no remainders.

1) 63 ÷ 4
Easy Multiples:
4 x 1 = 4
4 x 2 = 8
4 x 5 = 20
4 x 10 = 40
4 x 20 = 80

Work:
- 40 (from 4 x 10)
23
- 20 (from 4 x 5)
3
+ 10 + 5 = 15
Remainder: 3

2) 72 ÷ 3
Easy Multiples:
3 x 1 = 3
3 x 2 = 6
3 x 5 = 15
3 x 10 = 30
3 x 20 = 60

Work:
- 60 (from 3 x 20)
12
- 12 (from 3 x 4, but using 3 x 2 twice or 3 x 5 and 3 x 2? Let's use 3 x 4 as 12 is not a listed multiple. Alternatively, break into 3 x 2 and 3 x 2 again? But the structure suggests using the easy multiples. Since 12 isn't listed, perhaps use 3 x 2 = 6 twice.
Actually, let's use 3 x 2 = 6 twice to get 12.
- 6 (from 3 x 2)
6
- 6 (from 3 x 2)
0
+ 20 + 2 + 2 = 24
Remainder: 0

Wait, let me correct. The "Easy Multiples" box only lists specific products. For 72 ÷ 3, after subtracting 60 (3x20), we have 12 left. We can use 3x2=6 twice, but since 6 is listed, that's acceptable. So:

- 60 (from 3 x 20)
12
- 6 (from 3 x 2)
6
- 6 (from 3 x 2)
0
+ 20 + 2 + 2 = 24
Remainder: 0

Alternatively, if we are to use only the listed multiples without repeating, we might need to adjust. But typically, you can use the same multiple more than once. So 24 is correct.

3) 88 ÷ 2
Easy Multiples:
2 x 1 = 2
2 x 2 = 4
2 x 5 = 10
2 x 10 = 20
2 x 20 = 40

Work:
- 80 (from 2 x 40? Wait, 2 x 40 is not listed. 2 x 20 = 40. So we can use 2 x 20 = 40 twice.
- 40 (from 2 x 20)
48
- 40 (from 2 x 20)
8
- 8? 2 x 4 = 8, but 4 is not listed. Use 2 x 2 = 4 twice.
- 4 (from 2 x 2)
4
- 4 (from 2 x 2)
0
+ 20 + 20 + 2 + 2 = 44
Remainder: 0

But 2 x 20 = 40, so two of those is 80, then 8 left. 8 can be broken into 2 x 2 four times, but that's messy. Alternatively, use 2 x 5 = 10? Too big. So 2 x 2 = 4 twice is fine.

Actually, 88 ÷ 2 is 44, so the partial quotients should add to 44. Using 20, 20, 2, 2 is correct.

4) 75 ÷ 5
Easy Multiples:
5 x 1 = 5
5 x 2 = 10
5 x 5 = 25
5 x 10 = 50

Work:
- 50 (from 5 x 10)
25
- 25 (from 5 x 5)
0
+ 10 + 5 = 15
Remainder: 0

5) 79 ÷ 2
Easy Multiples:
2 x 1 = 2
2 x 2 = 4
2 x 5 = 10
2 x 10 = 20
2 x 20 = 40

Work:
- 40 (from 2 x 20)
39
- 20 (from 2 x 10) — wait, 2 x 10 = 20, but we have 39. Better to use 2 x 20 = 40 already used. Next, 2 x 10 = 20.
- 20 (from 2 x 10)
19
- 10 (from 2 x 5)
9
- 8? 2 x 4 = 8, not listed. Use 2 x 2 = 4 twice? Or 2 x 5 = 10 is too big for 9. So use 2 x 2 = 4 twice and then 2 x 1 = 2? But 4+4=8, then 1 left.

Better:
After 40, we have 39.
Use 2 x 10 = 20 → 39-20=19
Use 2 x 5 = 10 → 19-10=9
Use 2 x 2 = 4 → 9-4=5
Use 2 x 2 = 4 → 5-4=1
Use 2 x 1 = 2? Too big. So remainder 1.

Partial quotients: 20 + 10 + 5 + 2 + 2 = 39? That's not right because 20+10+5+2+2=39, but we started with 79, and 2*39=78, remainder 1.

So:
- 40 (2x20)
39
- 20 (2x10)
19
- 10 (2x5)
9
- 4 (2x2)
5
- 4 (2x2)
1
+ 20 + 10 + 5 + 2 + 2 = 39
Remainder: 1

6) 89 ÷ 6
Easy Multiples:
6 x 1 = 6
6 x 2 = 12
6 x 5 = 30
6 x 10 = 60

Work:
- 60 (from 6 x 10)
29
- 24? 6 x 4 = 24, not listed. Use 6 x 2 = 12 twice? 12+12=24.
- 12 (from 6 x 2)
17
- 12 (from 6 x 2)
5
+ 10 + 2 + 2 = 14
Remainder: 5

Check: 6 x 14 = 84, 89 - 84 = 5. Correct.

Now, to present the answers as per the worksheet format, I'll list the final quotient and remainder for each, and fill in the easy multiples.

Final Answers:

1) Quotient: 15, Remainder: 3
Easy Multiples:
4 x 1 = 4
4 x 2 = 8
4 x 5 = 20
4 x 10 = 40
4 x 20 = 80

2) Quotient: 24, Remainder: 0
Easy Multiples:
3 x 1 = 3
3 x 2 = 6
3 x 5 = 15
3 x 10 = 30
3 x 20 = 60

3) Quotient: 44, Remainder: 0
Easy Multiples:
2 x 1 = 2
2 x 2 = 4
2 x 5 = 10
2 x 10 = 20
2 x 20 = 40

4) Quotient: 15, Remainder: 0
Easy Multiples:
5 x 1 = 5
5 x 2 = 10
5 x 5 = 25
5 x 10 = 50

5) Quotient: 39, Remainder: 1
Easy Multiples:
2 x 1 = 2
2 x 2 = 4
2 x 5 = 10
2 x 10 = 20
2 x 20 = 40

6) Quotient: 14, Remainder: 5
Easy Multiples:
6 x 1 = 6
6 x 2 = 12
6 x 5 = 30
6 x 10 = 60