Solve 31104div27

$$31104 \div 27$$

Evaluate

$$1152$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 31104

$$\begin{array}{l}\phantom{27)}\phantom{1}\\27\overline{)31104}\\\end{array}$$

Since 3 is less than 27, use the next digit 1 from dividend 31104 and add 0 to the quotient

$$\begin{array}{l}\phantom{27)}0\phantom{2}\\27\overline{)31104}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 31104

$$\begin{array}{l}\phantom{27)}0\phantom{3}\\27\overline{)31104}\\\end{array}$$

Find closest multiple of 27 to 31. We see that 1 \times 27 = 27 is the nearest. Now subtract 27 from 31 to get reminder 4. Add 1 to quotient.

$$\begin{array}{l}\phantom{27)}01\phantom{4}\\27\overline{)31104}\\\phantom{27)}\underline{\phantom{}27\phantom{999}}\\\phantom{27)9}4\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 31104

$$\begin{array}{l}\phantom{27)}01\phantom{5}\\27\overline{)31104}\\\phantom{27)}\underline{\phantom{}27\phantom{999}}\\\phantom{27)9}41\\\end{array}$$

Find closest multiple of 27 to 41. We see that 1 \times 27 = 27 is the nearest. Now subtract 27 from 41 to get reminder 14. Add 1 to quotient.

$$\begin{array}{l}\phantom{27)}011\phantom{6}\\27\overline{)31104}\\\phantom{27)}\underline{\phantom{}27\phantom{999}}\\\phantom{27)9}41\\\phantom{27)}\underline{\phantom{9}27\phantom{99}}\\\phantom{27)9}14\\\end{array}$$

Use the 4^{th} digit 0 from dividend 31104

$$\begin{array}{l}\phantom{27)}011\phantom{7}\\27\overline{)31104}\\\phantom{27)}\underline{\phantom{}27\phantom{999}}\\\phantom{27)9}41\\\phantom{27)}\underline{\phantom{9}27\phantom{99}}\\\phantom{27)9}140\\\end{array}$$

Find closest multiple of 27 to 140. We see that 5 \times 27 = 135 is the nearest. Now subtract 135 from 140 to get reminder 5. Add 5 to quotient.

$$\begin{array}{l}\phantom{27)}0115\phantom{8}\\27\overline{)31104}\\\phantom{27)}\underline{\phantom{}27\phantom{999}}\\\phantom{27)9}41\\\phantom{27)}\underline{\phantom{9}27\phantom{99}}\\\phantom{27)9}140\\\phantom{27)}\underline{\phantom{9}135\phantom{9}}\\\phantom{27)999}5\\\end{array}$$

Use the 5^{th} digit 4 from dividend 31104

$$\begin{array}{l}\phantom{27)}0115\phantom{9}\\27\overline{)31104}\\\phantom{27)}\underline{\phantom{}27\phantom{999}}\\\phantom{27)9}41\\\phantom{27)}\underline{\phantom{9}27\phantom{99}}\\\phantom{27)9}140\\\phantom{27)}\underline{\phantom{9}135\phantom{9}}\\\phantom{27)999}54\\\end{array}$$

Find closest multiple of 27 to 54. We see that 2 \times 27 = 54 is the nearest. Now subtract 54 from 54 to get reminder 0. Add 2 to quotient.

$$\begin{array}{l}\phantom{27)}01152\phantom{10}\\27\overline{)31104}\\\phantom{27)}\underline{\phantom{}27\phantom{999}}\\\phantom{27)9}41\\\phantom{27)}\underline{\phantom{9}27\phantom{99}}\\\phantom{27)9}140\\\phantom{27)}\underline{\phantom{9}135\phantom{9}}\\\phantom{27)999}54\\\phantom{27)}\underline{\phantom{999}54\phantom{}}\\\phantom{27)99999}0\\\end{array}$$

Since 0 is less than 27, stop the division. The reminder is 0. The topmost line 01152 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1152.

$$\text{Quotient: }1152 \text{Reminder: }0$$

Factor

$$2^{7}\times 3^{2}$$