Solve 1656/12

$$\frac { 1656 } { 12 }$$

Evaluate

$$138$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1656

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)1656}\\\end{array}$$

Since 1 is less than 12, use the next digit 6 from dividend 1656 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)1656}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 1656

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)1656}\\\end{array}$$

Find closest multiple of 12 to 16. We see that 1 \times 12 = 12 is the nearest. Now subtract 12 from 16 to get reminder 4. Add 1 to quotient.

$$\begin{array}{l}\phantom{12)}01\phantom{4}\\12\overline{)1656}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)9}4\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 1656

$$\begin{array}{l}\phantom{12)}01\phantom{5}\\12\overline{)1656}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)9}45\\\end{array}$$

Find closest multiple of 12 to 45. We see that 3 \times 12 = 36 is the nearest. Now subtract 36 from 45 to get reminder 9. Add 3 to quotient.

$$\begin{array}{l}\phantom{12)}013\phantom{6}\\12\overline{)1656}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)9}45\\\phantom{12)}\underline{\phantom{9}36\phantom{9}}\\\phantom{12)99}9\\\end{array}$$

Use the 4^{th} digit 6 from dividend 1656

$$\begin{array}{l}\phantom{12)}013\phantom{7}\\12\overline{)1656}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)9}45\\\phantom{12)}\underline{\phantom{9}36\phantom{9}}\\\phantom{12)99}96\\\end{array}$$

Find closest multiple of 12 to 96. We see that 8 \times 12 = 96 is the nearest. Now subtract 96 from 96 to get reminder 0. Add 8 to quotient.

$$\begin{array}{l}\phantom{12)}0138\phantom{8}\\12\overline{)1656}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)9}45\\\phantom{12)}\underline{\phantom{9}36\phantom{9}}\\\phantom{12)99}96\\\phantom{12)}\underline{\phantom{99}96\phantom{}}\\\phantom{12)9999}0\\\end{array}$$

Since 0 is less than 12, stop the division. The reminder is 0. The topmost line 0138 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 138.

$$\text{Quotient: }138 \text{Reminder: }0$$

Factor

$$2\times 3\times 23$$