Solve 12000/220

$$\frac { 12000 } { 220 }$$

Evaluate

$$\frac{600}{11}\approx 54.545454545$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 12000

$$\begin{array}{l}\phantom{220)}\phantom{1}\\220\overline{)12000}\\\end{array}$$

Since 1 is less than 220, use the next digit 2 from dividend 12000 and add 0 to the quotient

$$\begin{array}{l}\phantom{220)}0\phantom{2}\\220\overline{)12000}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 12000

$$\begin{array}{l}\phantom{220)}0\phantom{3}\\220\overline{)12000}\\\end{array}$$

Since 12 is less than 220, use the next digit 0 from dividend 12000 and add 0 to the quotient

$$\begin{array}{l}\phantom{220)}00\phantom{4}\\220\overline{)12000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 12000

$$\begin{array}{l}\phantom{220)}00\phantom{5}\\220\overline{)12000}\\\end{array}$$

Since 120 is less than 220, use the next digit 0 from dividend 12000 and add 0 to the quotient

$$\begin{array}{l}\phantom{220)}000\phantom{6}\\220\overline{)12000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 12000

$$\begin{array}{l}\phantom{220)}000\phantom{7}\\220\overline{)12000}\\\end{array}$$

Find closest multiple of 220 to 1200. We see that 5 \times 220 = 1100 is the nearest. Now subtract 1100 from 1200 to get reminder 100. Add 5 to quotient.

$$\begin{array}{l}\phantom{220)}0005\phantom{8}\\220\overline{)12000}\\\phantom{220)}\underline{\phantom{}1100\phantom{9}}\\\phantom{220)9}100\\\end{array}$$

Use the 5^{th} digit 0 from dividend 12000

$$\begin{array}{l}\phantom{220)}0005\phantom{9}\\220\overline{)12000}\\\phantom{220)}\underline{\phantom{}1100\phantom{9}}\\\phantom{220)9}1000\\\end{array}$$

Find closest multiple of 220 to 1000. We see that 4 \times 220 = 880 is the nearest. Now subtract 880 from 1000 to get reminder 120. Add 4 to quotient.

$$\begin{array}{l}\phantom{220)}00054\phantom{10}\\220\overline{)12000}\\\phantom{220)}\underline{\phantom{}1100\phantom{9}}\\\phantom{220)9}1000\\\phantom{220)}\underline{\phantom{99}880\phantom{}}\\\phantom{220)99}120\\\end{array}$$

Since 120 is less than 220, stop the division. The reminder is 120. The topmost line 00054 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 54.

$$\text{Quotient: }54 \text{Reminder: }120$$

Factor

$$\frac{2 ^ {3} \cdot 3 \cdot 5 ^ {2}}{11} = 54\frac{6}{11} = 54.54545454545455$$