Solve 30/24

$$\frac { 30 } { 24 }$$

Evaluate

$$\frac{5}{4}=1.25$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 30

$$\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)30}\\\end{array}$$

Since 3 is less than 24, use the next digit 0 from dividend 30 and add 0 to the quotient

$$\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)30}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 30

$$\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)30}\\\end{array}$$

Find closest multiple of 24 to 30. We see that 1 \times 24 = 24 is the nearest. Now subtract 24 from 30 to get reminder 6. Add 1 to quotient.

$$\begin{array}{l}\phantom{24)}01\phantom{4}\\24\overline{)30}\\\phantom{24)}\underline{\phantom{}24\phantom{}}\\\phantom{24)9}6\\\end{array}$$

Since 6 is less than 24, stop the division. The reminder is 6. The topmost line 01 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }6$$

Factor

$$\frac{5}{2 ^ {2}} = 1\frac{1}{4} = 1.25$$