Solve 74/18

$$\frac { 74 } { 18 }$$

Evaluate

$$\frac{37}{9}\approx 4.111111111$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 74

$$\begin{array}{l}\phantom{18)}\phantom{1}\\18\overline{)74}\\\end{array}$$

Since 7 is less than 18, use the next digit 4 from dividend 74 and add 0 to the quotient

$$\begin{array}{l}\phantom{18)}0\phantom{2}\\18\overline{)74}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 74

$$\begin{array}{l}\phantom{18)}0\phantom{3}\\18\overline{)74}\\\end{array}$$

Find closest multiple of 18 to 74. We see that 4 \times 18 = 72 is the nearest. Now subtract 72 from 74 to get reminder 2. Add 4 to quotient.

$$\begin{array}{l}\phantom{18)}04\phantom{4}\\18\overline{)74}\\\phantom{18)}\underline{\phantom{}72\phantom{}}\\\phantom{18)9}2\\\end{array}$$

Since 2 is less than 18, stop the division. The reminder is 2. The topmost line 04 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.

$$\text{Quotient: }4 \text{Reminder: }2$$

Factor

$$\frac{37}{3 ^ {2}} = 4\frac{1}{9} = 4.111111111111111$$