Solve 405div27

$$405 \div 27$$

Evaluate

$$15$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 405

$$\begin{array}{l}\phantom{27)}\phantom{1}\\27\overline{)405}\\\end{array}$$

Since 4 is less than 27, use the next digit 0 from dividend 405 and add 0 to the quotient

$$\begin{array}{l}\phantom{27)}0\phantom{2}\\27\overline{)405}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 405

$$\begin{array}{l}\phantom{27)}0\phantom{3}\\27\overline{)405}\\\end{array}$$

Find closest multiple of 27 to 40. We see that 1 \times 27 = 27 is the nearest. Now subtract 27 from 40 to get reminder 13. Add 1 to quotient.

$$\begin{array}{l}\phantom{27)}01\phantom{4}\\27\overline{)405}\\\phantom{27)}\underline{\phantom{}27\phantom{9}}\\\phantom{27)}13\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 405

$$\begin{array}{l}\phantom{27)}01\phantom{5}\\27\overline{)405}\\\phantom{27)}\underline{\phantom{}27\phantom{9}}\\\phantom{27)}135\\\end{array}$$

Find closest multiple of 27 to 135. We see that 5 \times 27 = 135 is the nearest. Now subtract 135 from 135 to get reminder 0. Add 5 to quotient.

$$\begin{array}{l}\phantom{27)}015\phantom{6}\\27\overline{)405}\\\phantom{27)}\underline{\phantom{}27\phantom{9}}\\\phantom{27)}135\\\phantom{27)}\underline{\phantom{}135\phantom{}}\\\phantom{27)999}0\\\end{array}$$

Since 0 is less than 27, stop the division. The reminder is 0. The topmost line 015 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 15.

$$\text{Quotient: }15 \text{Reminder: }0$$

Factor

$$3\times 5$$