Solve 125div27

$$125 \div 27$$

Evaluate

$$\frac{125}{27}\approx 4.62962963$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 125

$$\begin{array}{l}\phantom{27)}\phantom{1}\\27\overline{)125}\\\end{array}$$

Since 1 is less than 27, use the next digit 2 from dividend 125 and add 0 to the quotient

$$\begin{array}{l}\phantom{27)}0\phantom{2}\\27\overline{)125}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 125

$$\begin{array}{l}\phantom{27)}0\phantom{3}\\27\overline{)125}\\\end{array}$$

Since 12 is less than 27, use the next digit 5 from dividend 125 and add 0 to the quotient

$$\begin{array}{l}\phantom{27)}00\phantom{4}\\27\overline{)125}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 125

$$\begin{array}{l}\phantom{27)}00\phantom{5}\\27\overline{)125}\\\end{array}$$

Find closest multiple of 27 to 125. We see that 4 \times 27 = 108 is the nearest. Now subtract 108 from 125 to get reminder 17. Add 4 to quotient.

$$\begin{array}{l}\phantom{27)}004\phantom{6}\\27\overline{)125}\\\phantom{27)}\underline{\phantom{}108\phantom{}}\\\phantom{27)9}17\\\end{array}$$

Since 17 is less than 27, stop the division. The reminder is 17. The topmost line 004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.

$$\text{Quotient: }4 \text{Reminder: }17$$

Factor

$$\frac{5 ^ {3}}{3 ^ {3}} = 4\frac{17}{27} = 4.62962962962963$$