Math worksheet with multiplication and division exercises for practice.

Problem Overview:

The task involves solving multiplication and division problems. Let's break it down into two sections:

1. Multiplication Problems (Problems ① to ⑧)
2. Division Problems (Problems ⑨ to ⑯)

We will solve each problem step by step.

---

Section 1: Multiplication Problems

#### Problem ①: \( 323 \times 232 \)

\[
\begin{aligned}
323 \times 232 &= 323 \times (200 + 30 + 2) \\
&= 323 \times 200 + 323 \times 30 + 323 \times 2 \\
&= 64600 + 9690 + 646 \\
&= 74936
\end{aligned}
\]

#### Problem ②: \( 802 \times 917 \)

\[
\begin{aligned}
802 \times 917 &= 802 \times (900 + 10 + 7) \\
&= 802 \times 900 + 802 \times 10 + 802 \times 7 \\
&= 721800 + 8020 + 5614 \\
&= 735434
\end{aligned}
\]

#### Problem ③: \( 652 \times 312 \)

\[
\begin{aligned}
652 \times 312 &= 652 \times (300 + 10 + 2) \\
&= 652 \times 300 + 652 \times 10 + 652 \times 2 \\
&= 195600 + 6520 + 1304 \\
&= 203424
\end{aligned}
\]

#### Problem ④: \( 541 \times 434 \)

\[
\begin{aligned}
541 \times 434 &= 541 \times (400 + 30 + 4) \\
&= 541 \times 400 + 541 \times 30 + 541 \times 4 \\
&= 216400 + 16230 + 2164 \\
&= 234794
\end{aligned}
\]

#### Problem ⑤: \( 462 \times 578 \)

\[
\begin{aligned}
462 \times 578 &= 462 \times (500 + 70 + 8) \\
&= 462 \times 500 + 462 \times 70 + 462 \times 8 \\
&= 231000 + 32340 + 3696 \\
&= 267036
\end{aligned}
\]

#### Problem ⑥: \( 659 \times 728 \)

\[
\begin{aligned}
659 \times 728 &= 659 \times (700 + 20 + 8) \\
&= 659 \times 700 + 659 \times 20 + 659 \times 8 \\
&= 461300 + 13180 + 5272 \\
&= 479752
\end{aligned}
\]

#### Problem ⑦: \( 604 \times 350 \)

\[
\begin{aligned}
604 \times 350 &= 604 \times (300 + 50) \\
&= 604 \times 300 + 604 \times 50 \\
&= 181200 + 30200 \\
&= 211400
\end{aligned}
\]

#### Problem ⑧: \( 702 \times 198 \)

\[
\begin{aligned}
702 \times 198 &= 702 \times (200 - 2) \\
&= 702 \times 200 - 702 \times 2 \\
&= 140400 - 1404 \\
&= 138996
\end{aligned}
\]

---

Section 2: Division Problems

#### Problem ⑨: \( 21 \div 5502 \)

Using long division:

\[
\begin{array}{r|l}
21 & 5502 \\
\hline
262 & 5502 - 546 = 42 \\
& 42 - 42 = 0 \\
\end{array}
\]

So, \( 5502 \div 21 = 262 \).

#### Problem ⑩: \( 32 \div 7392 \)

Using long division:

\[
\begin{array}{r|l}
32 & 7392 \\
\hline
231 & 7392 - 64 = 992 \\
& 992 - 96 = 32 \\
& 32 - 32 = 0 \\
\end{array}
\]

So, \( 7392 \div 32 = 231 \).

#### Problem ⑪: \( 24 \div 3648 \)

Using long division:

\[
\begin{array}{r|l}
24 & 3648 \\
\hline
152 & 3648 - 24 = 3624 \\
& 3624 - 3624 = 0 \\
\end{array}
\]

So, \( 3648 \div 24 = 152 \).

#### Problem ⑫: \( 25 \div 5575 \)

Using long division:

\[
\begin{array}{r|l}
25 & 5575 \\
\hline
223 & 5575 - 50 = 575 \\
& 575 - 50 = 75 \\
& 75 - 75 = 0 \\
\end{array}
\]

So, \( 5575 \div 25 = 223 \).

#### Problem ⑬: \( 25 \div 5350 \)

Using long division:

\[
\begin{array}{r|l}
25 & 5350 \\
\hline
214 & 5350 - 50 = 350 \\
& 350 - 350 = 0 \\
\end{array}
\]

So, \( 5350 \div 25 = 214 \).

#### Problem ⑭: \( 40 \div 3740 \)

Using long division:

\[
\begin{array}{r|l}
40 & 3740 \\
\hline
93 & 3740 - 360 = 140 \\
& 140 - 120 = 20 \\
& 20 - 20 = 0 \\
\end{array}
\]

So, \( 3740 \div 40 = 93 \).

#### Problem ⑮: \( 18 \div 3618 \)

Using long division:

\[
\begin{array}{r|l}
18 & 3618 \\
\hline
201 & 3618 - 18 = 3600 \\
& 3600 - 3600 = 0 \\
\end{array}
\]

So, \( 3618 \div 18 = 201 \).

#### Problem ⑯: \( 19 \div 5016 \)

Using long division:

\[
\begin{array}{r|l}
19 & 5016 \\
\hline
264 & 5016 - 38 = 4978 \\
& 4978 - 494 = 38 \\
& 38 - 38 = 0 \\
\end{array}
\]

So, \( 5016 \div 19 = 264 \).

---

Final Answers:

\[
\boxed{
\begin{array}{ll}
\text{①} & 74936 \\
\text{②} & 735434 \\
\text{③} & 203424 \\
\text{④} & 234794 \\
\text{⑤} & 267036 \\
\text{⑥} & 479752 \\
\text{⑦} & 211400 \\
\text{⑧} & 138996 \\
\text{⑨} & 262 \\
\text{⑩} & 231 \\
\text{⑪} & 152 \\
\text{⑫} & 223 \\
\text{⑬} & 214 \\
\text{⑭} & 93 \\
\text{⑮} & 201 \\
\text{⑯} & 264 \\
\end{array}
}
\]