Chapter 6.3, Problem 8P

Meili calculates $1200÷45$ in the following way:

$\frac{\begin{array}{l}45\\ \times 10\end{array}}{450}$	$\frac{\begin{array}{l}450\\ +450\end{array}}{900}$	$\leftarrow 10$    $\leftarrow 10$
	$\frac{+\text{ 9}0}{990}$	$\leftarrow 2$	$\begin{array}{l}10+10+2+2+2\\ =26\end{array}$
	$\frac{+\text{ 9}0}{\text{ 1080}}$	$\leftarrow 2$	$26R30$
	$\frac{+\text{ 9}0}{\text{ 1170}}$	$\leftarrow 2$
	$\frac{+\text{ 3}0}{\text{ 1200}}$	$\leftarrow \text{left}$

1. Explain why Meili's strategy makes sense.

Write equations that correspond to Meili's work and that demonstrate that $1200÷45$

has whole number quotient 26, remainder 30.