Divide 899 loaves of bread among 27 homeless shelters.

Step 1: Which estimate was closer to the actual? Give a reason.

The estimates are $\frac{900}{30} = 30$ and $\frac{1000}{30} \approx 33$.

Actual: $27 \times 36 = 972$, $979 - 972 = 7$, so quotient 36, remainder 7.

$$\begin{align*} &27 \times 36: \\ &20 \times 36 = 720, \\ &7 \times 36 = 252, \\ &720 + 252 = 972. \end{align*}$$

33 is closer to 36 ($|36-33|=3$) than 30 ($|36-30|=6$).

Reason: 979 is closer to 1000 (21 away) than to 900 (79 away).

Step 2a: $350 \div 8$

Test $44 \times 8$:

$$44 \times 8 = 40 \times 8 + 4 \times 8 = 320 + 32 = 352 > 350.$$

Test $43 \times 8$:

$$\begin{align*} &8 \times 43: \\ &8 \times 40 = 320, \\ &8 \times 3 = 24, \\ &320 + 24 = 344, \\ &350 - 344 = 6. \end{align*}$$

$350 = 8 \times 43 + 6$.

43 remainder 6

Step 2b: $4300 \div 4$

$$4 \times 1000 = 4000,$$ $$4300 - 4000 = 300.$$ $$4 \times 75 = 300,$$ $$1000 + 75 = 1075,$$ $$4300 - 4 \times 1075 = 0.$$

$4300 = 4 \times 1075 + 0$.

1075

Step 2c: $7436 \div 6$

$$6 \times 1200 = 7200,$$ $$7436 - 7200 = 236.$$ $$6 \times 39 = 234,$$ $$7200 + 234 = 7434,$$ $$7436 - 7434 = 2.$$

$7436 = 6 \times 1239 + 2$.

1239 remainder 2