Solve 10164div12

$$10164 \div 12$$

Evaluate

$$847$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 10164

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)10164}\\\end{array}$$

Since 1 is less than 12, use the next digit 0 from dividend 10164 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)10164}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 10164

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)10164}\\\end{array}$$

Since 10 is less than 12, use the next digit 1 from dividend 10164 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}00\phantom{4}\\12\overline{)10164}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 10164

$$\begin{array}{l}\phantom{12)}00\phantom{5}\\12\overline{)10164}\\\end{array}$$

Find closest multiple of 12 to 101. We see that 8 \times 12 = 96 is the nearest. Now subtract 96 from 101 to get reminder 5. Add 8 to quotient.

$$\begin{array}{l}\phantom{12)}008\phantom{6}\\12\overline{)10164}\\\phantom{12)}\underline{\phantom{9}96\phantom{99}}\\\phantom{12)99}5\\\end{array}$$

Use the 4^{th} digit 6 from dividend 10164

$$\begin{array}{l}\phantom{12)}008\phantom{7}\\12\overline{)10164}\\\phantom{12)}\underline{\phantom{9}96\phantom{99}}\\\phantom{12)99}56\\\end{array}$$

Find closest multiple of 12 to 56. We see that 4 \times 12 = 48 is the nearest. Now subtract 48 from 56 to get reminder 8. Add 4 to quotient.

$$\begin{array}{l}\phantom{12)}0084\phantom{8}\\12\overline{)10164}\\\phantom{12)}\underline{\phantom{9}96\phantom{99}}\\\phantom{12)99}56\\\phantom{12)}\underline{\phantom{99}48\phantom{9}}\\\phantom{12)999}8\\\end{array}$$

Use the 5^{th} digit 4 from dividend 10164

$$\begin{array}{l}\phantom{12)}0084\phantom{9}\\12\overline{)10164}\\\phantom{12)}\underline{\phantom{9}96\phantom{99}}\\\phantom{12)99}56\\\phantom{12)}\underline{\phantom{99}48\phantom{9}}\\\phantom{12)999}84\\\end{array}$$

Find closest multiple of 12 to 84. We see that 7 \times 12 = 84 is the nearest. Now subtract 84 from 84 to get reminder 0. Add 7 to quotient.

$$\begin{array}{l}\phantom{12)}00847\phantom{10}\\12\overline{)10164}\\\phantom{12)}\underline{\phantom{9}96\phantom{99}}\\\phantom{12)99}56\\\phantom{12)}\underline{\phantom{99}48\phantom{9}}\\\phantom{12)999}84\\\phantom{12)}\underline{\phantom{999}84\phantom{}}\\\phantom{12)99999}0\\\end{array}$$

Since 0 is less than 12, stop the division. The reminder is 0. The topmost line 00847 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 847.

$$\text{Quotient: }847 \text{Reminder: }0$$

Factor

$$7\times 11^{2}$$