Solve 189/112

$$189 / 112$$

Evaluate

$$\frac{27}{16}=1.6875$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 189

$$\begin{array}{l}\phantom{112)}\phantom{1}\\112\overline{)189}\\\end{array}$$

Since 1 is less than 112, use the next digit 8 from dividend 189 and add 0 to the quotient

$$\begin{array}{l}\phantom{112)}0\phantom{2}\\112\overline{)189}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 189

$$\begin{array}{l}\phantom{112)}0\phantom{3}\\112\overline{)189}\\\end{array}$$

Since 18 is less than 112, use the next digit 9 from dividend 189 and add 0 to the quotient

$$\begin{array}{l}\phantom{112)}00\phantom{4}\\112\overline{)189}\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 189

$$\begin{array}{l}\phantom{112)}00\phantom{5}\\112\overline{)189}\\\end{array}$$

Find closest multiple of 112 to 189. We see that 1 \times 112 = 112 is the nearest. Now subtract 112 from 189 to get reminder 77. Add 1 to quotient.

$$\begin{array}{l}\phantom{112)}001\phantom{6}\\112\overline{)189}\\\phantom{112)}\underline{\phantom{}112\phantom{}}\\\phantom{112)9}77\\\end{array}$$

Since 77 is less than 112, stop the division. The reminder is 77. The topmost line 001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }77$$

Factor

$$\frac{3 ^ {3}}{2 ^ {4}} = 1\frac{11}{16} = 1.6875$$