Solve 12096div64

$$12096 \div 64$$

Evaluate

$$189$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 12096

$$\begin{array}{l}\phantom{64)}\phantom{1}\\64\overline{)12096}\\\end{array}$$

Since 1 is less than 64, use the next digit 2 from dividend 12096 and add 0 to the quotient

$$\begin{array}{l}\phantom{64)}0\phantom{2}\\64\overline{)12096}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 12096

$$\begin{array}{l}\phantom{64)}0\phantom{3}\\64\overline{)12096}\\\end{array}$$

Since 12 is less than 64, use the next digit 0 from dividend 12096 and add 0 to the quotient

$$\begin{array}{l}\phantom{64)}00\phantom{4}\\64\overline{)12096}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 12096

$$\begin{array}{l}\phantom{64)}00\phantom{5}\\64\overline{)12096}\\\end{array}$$

Find closest multiple of 64 to 120. We see that 1 \times 64 = 64 is the nearest. Now subtract 64 from 120 to get reminder 56. Add 1 to quotient.

$$\begin{array}{l}\phantom{64)}001\phantom{6}\\64\overline{)12096}\\\phantom{64)}\underline{\phantom{9}64\phantom{99}}\\\phantom{64)9}56\\\end{array}$$

Use the 4^{th} digit 9 from dividend 12096

$$\begin{array}{l}\phantom{64)}001\phantom{7}\\64\overline{)12096}\\\phantom{64)}\underline{\phantom{9}64\phantom{99}}\\\phantom{64)9}569\\\end{array}$$

Find closest multiple of 64 to 569. We see that 8 \times 64 = 512 is the nearest. Now subtract 512 from 569 to get reminder 57. Add 8 to quotient.

$$\begin{array}{l}\phantom{64)}0018\phantom{8}\\64\overline{)12096}\\\phantom{64)}\underline{\phantom{9}64\phantom{99}}\\\phantom{64)9}569\\\phantom{64)}\underline{\phantom{9}512\phantom{9}}\\\phantom{64)99}57\\\end{array}$$

Use the 5^{th} digit 6 from dividend 12096

$$\begin{array}{l}\phantom{64)}0018\phantom{9}\\64\overline{)12096}\\\phantom{64)}\underline{\phantom{9}64\phantom{99}}\\\phantom{64)9}569\\\phantom{64)}\underline{\phantom{9}512\phantom{9}}\\\phantom{64)99}576\\\end{array}$$

Find closest multiple of 64 to 576. We see that 9 \times 64 = 576 is the nearest. Now subtract 576 from 576 to get reminder 0. Add 9 to quotient.

$$\begin{array}{l}\phantom{64)}00189\phantom{10}\\64\overline{)12096}\\\phantom{64)}\underline{\phantom{9}64\phantom{99}}\\\phantom{64)9}569\\\phantom{64)}\underline{\phantom{9}512\phantom{9}}\\\phantom{64)99}576\\\phantom{64)}\underline{\phantom{99}576\phantom{}}\\\phantom{64)99999}0\\\end{array}$$

Since 0 is less than 64, stop the division. The reminder is 0. The topmost line 00189 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 189.

$$\text{Quotient: }189 \text{Reminder: }0$$

Factor

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