5-Digit by 3-Digit Multiplication Worksheet (A) - Practice multiplying large numbers with this printable math drill.

The task involves solving a series of 5-digit by 3-digit multiplication problems. Below, I will solve each problem step-by-step and provide the final answers.

---

Problem 1: \( 28523 \times 513 \)

#### Step 1: Multiply \( 28523 \) by \( 3 \)
\[
28523 \times 3 = 85569
\]

#### Step 2: Multiply \( 28523 \) by \( 10 \) (i.e., \( 1 \) in the tens place)
\[
28523 \times 10 = 285230
\]

#### Step 3: Multiply \( 28523 \) by \( 500 \) (i.e., \( 5 \) in the hundreds place)
\[
28523 \times 500 = 14261500
\]

#### Step 4: Add the results
\[
85569 + 285230 + 14261500 = 14632299
\]

Answer:
\[
28523 \times 513 = 14632299
\]

---

Problem 2: \( 66390 \times 551 \)

#### Step 1: Multiply \( 66390 \) by \( 1 \)
\[
66390 \times 1 = 66390
\]

#### Step 2: Multiply \( 66390 \) by \( 50 \) (i.e., \( 5 \) in the tens place)
\[
66390 \times 50 = 3319500
\]

#### Step 3: Multiply \( 66390 \) by \( 500 \) (i.e., \( 5 \) in the hundreds place)
\[
66390 \times 500 = 33195000
\]

#### Step 4: Add the results
\[
66390 + 3319500 + 33195000 = 36579890
\]

Answer:
\[
66390 \times 551 = 36579890
\]

---

Problem 3: \( 59917 \times 399 \)

#### Step 1: Multiply \( 59917 \) by \( 9 \)
\[
59917 \times 9 = 539253
\]

#### Step 2: Multiply \( 59917 \) by \( 90 \) (i.e., \( 9 \) in the tens place)
\[
59917 \times 90 = 5392530
\]

#### Step 3: Multiply \( 59917 \) by \( 300 \) (i.e., \( 3 \) in the hundreds place)
\[
59917 \times 300 = 17975100
\]

#### Step 4: Add the results
\[
539253 + 5392530 + 17975100 = 23906883
\]

Answer:
\[
59917 \times 399 = 23906883
\]

---

Problem 4: \( 51518 \times 604 \)

#### Step 1: Multiply \( 51518 \) by \( 4 \)
\[
51518 \times 4 = 206072
\]

#### Step 2: Multiply \( 51518 \) by \( 0 \) (i.e., \( 0 \) in the tens place)
\[
51518 \times 0 = 0
\]

#### Step 3: Multiply \( 51518 \) by \( 600 \) (i.e., \( 6 \) in the hundreds place)
\[
51518 \times 600 = 30910800
\]

#### Step 4: Add the results
\[
206072 + 0 + 30910800 = 31116872
\]

Answer:
\[
51518 \times 604 = 31116872
\]

---

Problem 5: \( 31905 \times 468 \)

#### Step 1: Multiply \( 31905 \) by \( 8 \)
\[
31905 \times 8 = 255240
\]

#### Step 2: Multiply \( 31905 \) by \( 60 \) (i.e., \( 6 \) in the tens place)
\[
31905 \times 60 = 1914300
\]

#### Step 3: Multiply \( 31905 \) by \( 400 \) (i.e., \( 4 \) in the hundreds place)
\[
31905 \times 400 = 12762000
\]

#### Step 4: Add the results
\[
255240 + 1914300 + 12762000 = 14931540
\]

Answer:
\[
31905 \times 468 = 14931540
\]

---

Problem 6: \( 24693 \times 744 \)

#### Step 1: Multiply \( 24693 \) by \( 4 \)
\[
24693 \times 4 = 98772
\]

#### Step 2: Multiply \( 24693 \) by \( 40 \) (i.e., \( 4 \) in the tens place)
\[
24693 \times 40 = 987720
\]

#### Step 3: Multiply \( 24693 \) by \( 700 \) (i.e., \( 7 \) in the hundreds place)
\[
24693 \times 700 = 17285100
\]

#### Step 4: Add the results
\[
98772 + 987720 + 17285100 = 18371592
\]

Answer:
\[
24693 \times 744 = 18371592
\]

---

Problem 7: \( 63215 \times 287 \)

#### Step 1: Multiply \( 63215 \) by \( 7 \)
\[
63215 \times 7 = 442505
\]

#### Step 2: Multiply \( 63215 \) by \( 80 \) (i.e., \( 8 \) in the tens place)
\[
63215 \times 80 = 5057200
\]

#### Step 3: Multiply \( 63215 \) by \( 200 \) (i.e., \( 2 \) in the hundreds place)
\[
63215 \times 200 = 12643000
\]

#### Step 4: Add the results
\[
442505 + 5057200 + 12643000 = 18142705
\]

Answer:
\[
63215 \times 287 = 18142705
\]

---

Problem 8: \( 22526 \times 436 \)

#### Step 1: Multiply \( 22526 \) by \( 6 \)
\[
22526 \times 6 = 135156
\]

#### Step 2: Multiply \( 22526 \) by \( 30 \) (i.e., \( 3 \) in the tens place)
\[
22526 \times 30 = 675780
\]

#### Step 3: Multiply \( 22526 \) by \( 400 \) (i.e., \( 4 \) in the hundreds place)
\[
22526 \times 400 = 9010400
\]

#### Step 4: Add the results
\[
135156 + 675780 + 9010400 = 9821336
\]

Answer:
\[
22526 \times 436 = 9821336
\]

---

Problem 9: \( 76508 \times 312 \)

#### Step 1: Multiply \( 76508 \) by \( 2 \)
\[
76508 \times 2 = 153016
\]

#### Step 2: Multiply \( 76508 \) by \( 10 \) (i.e., \( 1 \) in the tens place)
\[
76508 \times 10 = 765080
\]

#### Step 3: Multiply \( 76508 \) by \( 300 \) (i.e., \( 3 \) in the hundreds place)
\[
76508 \times 300 = 22952400
\]

#### Step 4: Add the results
\[
153016 + 765080 + 22952400 = 23870496
\]

Answer:
\[
76508 \times 312 = 23870496
\]

---

Problem 10: \( 46499 \times 851 \)

#### Step 1: Multiply \( 46499 \) by \( 1 \)
\[
46499 \times 1 = 46499
\]

#### Step 2: Multiply \( 46499 \) by \( 50 \) (i.e., \( 5 \) in the tens place)
\[
46499 \times 50 = 2324950
\]

#### Step 3: Multiply \( 46499 \) by \( 800 \) (i.e., \( 8 \) in the hundreds place)
\[
46499 \times 800 = 37199200
\]

#### Step 4: Add the results
\[
46499 + 2324950 + 37199200 = 39570649
\]

Answer:
\[
46499 \times 851 = 39570649
\]

---

Problem 11: \( 77695 \times 857 \)

#### Step 1: Multiply \( 77695 \) by \( 7 \)
\[
77695 \times 7 = 543865
\]

#### Step 2: Multiply \( 77695 \) by \( 50 \) (i.e., \( 5 \) in the tens place)
\[
77695 \times 50 = 3884750
\]

#### Step 3: Multiply \( 77695 \) by \( 800 \) (i.e., \( 8 \) in the hundreds place)
\[
77695 \times 800 = 62156000
\]

#### Step 4: Add the results
\[
543865 + 3884750 + 62156000 = 66584615
\]

Answer:
\[
77695 \times 857 = 66584615
\]

---

Problem 12: \( 40466 \times 602 \)

#### Step 1: Multiply \( 40466 \) by \( 2 \)
\[
40466 \times 2 = 80932
\]

#### Step 2: Multiply \( 40466 \) by \( 0 \) (i.e., \( 0 \) in the tens place)
\[
40466 \times 0 = 0
\]

#### Step 3: Multiply \( 40466 \) by \( 600 \) (i.e., \( 6 \) in the hundreds place)
\[
40466 \times 600 = 24279600
\]

#### Step 4: Add the results
\[
80932 + 0 + 24279600 = 24360532
\]

Answer:
\[
40466 \times 602 = 24360532
\]

---

Problem 13: \( 31100 \times 495 \)

#### Step 1: Multiply \( 31100 \) by \( 5 \)
\[
31100 \times 5 = 155500
\]

#### Step 2: Multiply \( 31100 \) by \( 90 \) (i.e., \( 9 \) in the tens place)
\[
31100 \times 90 = 2799000
\]

#### Step 3: Multiply \( 31100 \) by \( 400 \) (i.e., \( 4 \) in the hundreds place)
\[
31100 \times 400 = 12440000
\]

#### Step 4: Add the results
\[
155500 + 2799000 + 12440000 = 15394500
\]

Answer:
\[
31100 \times 495 = 15394500
\]

---

Problem 14: \( 98037 \times 817 \)

#### Step 1: Multiply \( 98037 \) by \( 7 \)
\[
98037 \times 7 = 686259
\]

#### Step 2: Multiply \( 98037 \) by \( 10 \) (i.e., \( 1 \) in the tens place)
\[
98037 \times 10 = 980370
\]

#### Step 3: Multiply \( 98037 \) by \( 800 \) (i.e., \( 8 \) in the hundreds place)
\[
98037 \times 800 = 78429600
\]

#### Step 4: Add the results
\[
686259 + 980370 + 78429600 = 79096229
\]

Answer:
\[
98037 \times 817 = 79096229
\]

---

Problem 15: \( 68046 \times 659 \)

#### Step 1: Multiply \( 68046 \) by \( 9 \)
\[
68046 \times 9 = 612414
\]

#### Step 2: Multiply \( 68046 \) by \( 50 \) (i.e., \( 5 \) in the tens place)
\[
68046 \times 50 = 3402300
\]

#### Step 3: Multiply \( 68046 \) by \( 600 \) (i.e., \( 6 \) in the hundreds place)
\[
68046 \times 600 = 40827600
\]

#### Step 4: Add the results
\[
612414 + 3402300 + 40827600 = 44842314
\]

Answer:
\[
68046 \times 659 = 44842314
\]

---

Problem 16: \( 59542 \times 936 \)

#### Step 1: Multiply \( 59542 \) by \( 6 \)
\[
59542 \times 6 = 357252
\]

#### Step 2: Multiply \( 59542 \) by \( 30 \) (i.e., \( 3 \) in the tens place)
\[
59542 \times 30 = 1786260
\]

#### Step 3: Multiply \( 59542 \) by \( 900 \) (i.e., \( 9 \) in the hundreds place)
\[
59542 \times 900 = 53587800
\]

#### Step 4: Add the results
\[
357252 + 1786260 + 53587800 = 55731312
\]

Answer:
\[
59542 \times 936 = 55731312
\]

---

Final Answers:

\[
\boxed{
\begin{aligned}
&1. 14632299 \\
&2. 36579890 \\
&3. 23906883 \\
&4. 31116872 \\
&5. 14931540 \\
&6. 18371592 \\
&7. 18142705 \\
&8. 9821336 \\
&9. 23870496 \\
&10. 39570649 \\
&11. 66584615 \\
&12. 24360532 \\
&13. 15394500 \\
&14. 79096229 \\
&15. 44842314 \\
&16. 55731312 \\
\end{aligned}
}
\]