Solve 120div27

$$120 \div 27$$

Evaluate

$$\frac{40}{9}\approx 4.444444444$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 120

$$\begin{array}{l}\phantom{27)}\phantom{1}\\27\overline{)120}\\\end{array}$$

Since 1 is less than 27, use the next digit 2 from dividend 120 and add 0 to the quotient

$$\begin{array}{l}\phantom{27)}0\phantom{2}\\27\overline{)120}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 120

$$\begin{array}{l}\phantom{27)}0\phantom{3}\\27\overline{)120}\\\end{array}$$

Since 12 is less than 27, use the next digit 0 from dividend 120 and add 0 to the quotient

$$\begin{array}{l}\phantom{27)}00\phantom{4}\\27\overline{)120}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 120

$$\begin{array}{l}\phantom{27)}00\phantom{5}\\27\overline{)120}\\\end{array}$$

Find closest multiple of 27 to 120. We see that 4 \times 27 = 108 is the nearest. Now subtract 108 from 120 to get reminder 12. Add 4 to quotient.

$$\begin{array}{l}\phantom{27)}004\phantom{6}\\27\overline{)120}\\\phantom{27)}\underline{\phantom{}108\phantom{}}\\\phantom{27)9}12\\\end{array}$$

Since 12 is less than 27, stop the division. The reminder is 12. The topmost line 004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.

$$\text{Quotient: }4 \text{Reminder: }12$$

Factor

$$\frac{2 ^ {3} \cdot 5}{3 ^ {2}} = 4\frac{4}{9} = 4.444444444444445$$