Solve 70032/12

$$\frac{ 70032 }{ 12 }$$

Evaluate

$$5836$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 70032

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)70032}\\\end{array}$$

Since 7 is less than 12, use the next digit 0 from dividend 70032 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)70032}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 70032

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)70032}\\\end{array}$$

Find closest multiple of 12 to 70. We see that 5 \times 12 = 60 is the nearest. Now subtract 60 from 70 to get reminder 10. Add 5 to quotient.

$$\begin{array}{l}\phantom{12)}05\phantom{4}\\12\overline{)70032}\\\phantom{12)}\underline{\phantom{}60\phantom{999}}\\\phantom{12)}10\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 70032

$$\begin{array}{l}\phantom{12)}05\phantom{5}\\12\overline{)70032}\\\phantom{12)}\underline{\phantom{}60\phantom{999}}\\\phantom{12)}100\\\end{array}$$

Find closest multiple of 12 to 100. We see that 8 \times 12 = 96 is the nearest. Now subtract 96 from 100 to get reminder 4. Add 8 to quotient.

$$\begin{array}{l}\phantom{12)}058\phantom{6}\\12\overline{)70032}\\\phantom{12)}\underline{\phantom{}60\phantom{999}}\\\phantom{12)}100\\\phantom{12)}\underline{\phantom{9}96\phantom{99}}\\\phantom{12)99}4\\\end{array}$$

Use the 4^{th} digit 3 from dividend 70032

$$\begin{array}{l}\phantom{12)}058\phantom{7}\\12\overline{)70032}\\\phantom{12)}\underline{\phantom{}60\phantom{999}}\\\phantom{12)}100\\\phantom{12)}\underline{\phantom{9}96\phantom{99}}\\\phantom{12)99}43\\\end{array}$$

Find closest multiple of 12 to 43. We see that 3 \times 12 = 36 is the nearest. Now subtract 36 from 43 to get reminder 7. Add 3 to quotient.

$$\begin{array}{l}\phantom{12)}0583\phantom{8}\\12\overline{)70032}\\\phantom{12)}\underline{\phantom{}60\phantom{999}}\\\phantom{12)}100\\\phantom{12)}\underline{\phantom{9}96\phantom{99}}\\\phantom{12)99}43\\\phantom{12)}\underline{\phantom{99}36\phantom{9}}\\\phantom{12)999}7\\\end{array}$$

Use the 5^{th} digit 2 from dividend 70032

$$\begin{array}{l}\phantom{12)}0583\phantom{9}\\12\overline{)70032}\\\phantom{12)}\underline{\phantom{}60\phantom{999}}\\\phantom{12)}100\\\phantom{12)}\underline{\phantom{9}96\phantom{99}}\\\phantom{12)99}43\\\phantom{12)}\underline{\phantom{99}36\phantom{9}}\\\phantom{12)999}72\\\end{array}$$

Find closest multiple of 12 to 72. We see that 6 \times 12 = 72 is the nearest. Now subtract 72 from 72 to get reminder 0. Add 6 to quotient.

$$\begin{array}{l}\phantom{12)}05836\phantom{10}\\12\overline{)70032}\\\phantom{12)}\underline{\phantom{}60\phantom{999}}\\\phantom{12)}100\\\phantom{12)}\underline{\phantom{9}96\phantom{99}}\\\phantom{12)99}43\\\phantom{12)}\underline{\phantom{99}36\phantom{9}}\\\phantom{12)999}72\\\phantom{12)}\underline{\phantom{999}72\phantom{}}\\\phantom{12)99999}0\\\end{array}$$

Since 0 is less than 12, stop the division. The reminder is 0. The topmost line 05836 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5836.

$$\text{Quotient: }5836 \text{Reminder: }0$$

Factor

$$2^{2}\times 1459$$