Solve 145div27

$$145 \div 27$$

Evaluate

$$\frac{145}{27}\approx 5.37037037$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 145

$$\begin{array}{l}\phantom{27)}\phantom{1}\\27\overline{)145}\\\end{array}$$

Since 1 is less than 27, use the next digit 4 from dividend 145 and add 0 to the quotient

$$\begin{array}{l}\phantom{27)}0\phantom{2}\\27\overline{)145}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 145

$$\begin{array}{l}\phantom{27)}0\phantom{3}\\27\overline{)145}\\\end{array}$$

Since 14 is less than 27, use the next digit 5 from dividend 145 and add 0 to the quotient

$$\begin{array}{l}\phantom{27)}00\phantom{4}\\27\overline{)145}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 145

$$\begin{array}{l}\phantom{27)}00\phantom{5}\\27\overline{)145}\\\end{array}$$

Find closest multiple of 27 to 145. We see that 5 \times 27 = 135 is the nearest. Now subtract 135 from 145 to get reminder 10. Add 5 to quotient.

$$\begin{array}{l}\phantom{27)}005\phantom{6}\\27\overline{)145}\\\phantom{27)}\underline{\phantom{}135\phantom{}}\\\phantom{27)9}10\\\end{array}$$

Since 10 is less than 27, stop the division. The reminder is 10. The topmost line 005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.

$$\text{Quotient: }5 \text{Reminder: }10$$

Factor

$$\frac{5 \cdot 29}{3 ^ {3}} = 5\frac{10}{27} = 5.37037037037037$$