Calculate the following divisions and solve the word problems involving division with remainders.

$$37 = 3 \times 12 + 1$$

The quotient is 12 and the remainder is 1.

$$\boxed{\text{12 rem 1}}$$

b) $98 \div 5$

$$98 = 5 \times 19 + 3$$

The quotient is 19 and the remainder is 3.

$$\boxed{\text{19 rem 3}}$$

c) $89 \div 4$

$$89 = 4 \times 22 + 1$$

The quotient is 22 and the remainder is 1.

$$\boxed{\text{22 rem 1}}$$

d) $67 \div 5$

$$67 = 5 \times 13 + 2$$

The quotient is 13 and the remainder is 2.

$$\boxed{\text{13 rem 2}}$$

e) $38 \div 3$

$$38 = 3 \times 12 + 2$$

The quotient is 12 and the remainder is 2.

$$\boxed{\text{12 rem 2}}$$

f) $79 \div 6$

$$79 = 6 \times 13 + 1$$

The quotient is 13 and the remainder is 1.

$$\boxed{\text{13 rem 1}}$$

Sweet money...

a) I have 97 sweets. I need to divide it amongst 5 children. How many sweets will be left over?

$$97 = 5 \times 19 + 2$$

There will be 2 sweets left over.

$$\boxed{\text{2 sweets}}$$

b) I have R95. How many cup cakes of R8 can I buy? Will I get any change?

$$95 = 8 \times 11 + 7$$

You can buy 11 cupcakes.

The remainder is 7, so you will get R7 change.

$$\boxed{\text{11 cupcakes, R7 change}}$$

c) My mother bought 80 metres of fabric to make scatter cushions for 9 people. How much fabric will she have for each person?

$$80 = 9 \times 8 + 8$$

Each person will have 8 metres of fabric.

$$\boxed{\text{8 metres}}$$