Solve 3456/12

$$\frac{ 3456 }{ 12 }$$

Evaluate

$$288$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3456

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)3456}\\\end{array}$$

Since 3 is less than 12, use the next digit 4 from dividend 3456 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)3456}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 3456

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)3456}\\\end{array}$$

Find closest multiple of 12 to 34. We see that 2 \times 12 = 24 is the nearest. Now subtract 24 from 34 to get reminder 10. Add 2 to quotient.

$$\begin{array}{l}\phantom{12)}02\phantom{4}\\12\overline{)3456}\\\phantom{12)}\underline{\phantom{}24\phantom{99}}\\\phantom{12)}10\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 3456

$$\begin{array}{l}\phantom{12)}02\phantom{5}\\12\overline{)3456}\\\phantom{12)}\underline{\phantom{}24\phantom{99}}\\\phantom{12)}105\\\end{array}$$

Find closest multiple of 12 to 105. We see that 8 \times 12 = 96 is the nearest. Now subtract 96 from 105 to get reminder 9. Add 8 to quotient.

$$\begin{array}{l}\phantom{12)}028\phantom{6}\\12\overline{)3456}\\\phantom{12)}\underline{\phantom{}24\phantom{99}}\\\phantom{12)}105\\\phantom{12)}\underline{\phantom{9}96\phantom{9}}\\\phantom{12)99}9\\\end{array}$$

Use the 4^{th} digit 6 from dividend 3456

$$\begin{array}{l}\phantom{12)}028\phantom{7}\\12\overline{)3456}\\\phantom{12)}\underline{\phantom{}24\phantom{99}}\\\phantom{12)}105\\\phantom{12)}\underline{\phantom{9}96\phantom{9}}\\\phantom{12)99}96\\\end{array}$$

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.

$$\begin{array}{l}\phantom{12)}0288\phantom{8}\\12\overline{)3456}\\\phantom{12)}\underline{\phantom{}24\phantom{99}}\\\phantom{12)}105\\\phantom{12)}\underline{\phantom{9}96\phantom{9}}\\\phantom{12)99}96\\\phantom{12)}\underline{\phantom{99}96\phantom{}}\\\phantom{12)9999}0\\\end{array}$$

Since 0 is less than 12, stop the division. The reminder is 0. The topmost line 0288 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 288.

$$\text{Quotient: }288 \text{Reminder: }0$$

Factor

$$2^{5}\times 3^{2}$$