Solve 11440/180

$$\frac { 11440 } { 180 }$$

Evaluate

$$\frac{572}{9}\approx 63.555555556$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 11440

$$\begin{array}{l}\phantom{180)}\phantom{1}\\180\overline{)11440}\\\end{array}$$

Since 1 is less than 180, use the next digit 1 from dividend 11440 and add 0 to the quotient

$$\begin{array}{l}\phantom{180)}0\phantom{2}\\180\overline{)11440}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 11440

$$\begin{array}{l}\phantom{180)}0\phantom{3}\\180\overline{)11440}\\\end{array}$$

Since 11 is less than 180, use the next digit 4 from dividend 11440 and add 0 to the quotient

$$\begin{array}{l}\phantom{180)}00\phantom{4}\\180\overline{)11440}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 11440

$$\begin{array}{l}\phantom{180)}00\phantom{5}\\180\overline{)11440}\\\end{array}$$

Since 114 is less than 180, use the next digit 4 from dividend 11440 and add 0 to the quotient

$$\begin{array}{l}\phantom{180)}000\phantom{6}\\180\overline{)11440}\\\end{array}$$

Use the 4^{th} digit 4 from dividend 11440

$$\begin{array}{l}\phantom{180)}000\phantom{7}\\180\overline{)11440}\\\end{array}$$

Find closest multiple of 180 to 1144. We see that 6 \times 180 = 1080 is the nearest. Now subtract 1080 from 1144 to get reminder 64. Add 6 to quotient.

$$\begin{array}{l}\phantom{180)}0006\phantom{8}\\180\overline{)11440}\\\phantom{180)}\underline{\phantom{}1080\phantom{9}}\\\phantom{180)99}64\\\end{array}$$

Use the 5^{th} digit 0 from dividend 11440

$$\begin{array}{l}\phantom{180)}0006\phantom{9}\\180\overline{)11440}\\\phantom{180)}\underline{\phantom{}1080\phantom{9}}\\\phantom{180)99}640\\\end{array}$$

Find closest multiple of 180 to 640. We see that 3 \times 180 = 540 is the nearest. Now subtract 540 from 640 to get reminder 100. Add 3 to quotient.

$$\begin{array}{l}\phantom{180)}00063\phantom{10}\\180\overline{)11440}\\\phantom{180)}\underline{\phantom{}1080\phantom{9}}\\\phantom{180)99}640\\\phantom{180)}\underline{\phantom{99}540\phantom{}}\\\phantom{180)99}100\\\end{array}$$

Since 100 is less than 180, stop the division. The reminder is 100. The topmost line 00063 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 63.

$$\text{Quotient: }63 \text{Reminder: }100$$

Factor

$$\frac{2 ^ {2} \cdot 11 \cdot 13}{3 ^ {2}} = 63\frac{5}{9} = 63.55555555555556$$