Solve 13,824/250

$$\frac { 13,824 } { 250 }$$

Evaluate

$$\frac{6912}{125}=55.296$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 13824

$$\begin{array}{l}\phantom{250)}\phantom{1}\\250\overline{)13824}\\\end{array}$$

Since 1 is less than 250, use the next digit 3 from dividend 13824 and add 0 to the quotient

$$\begin{array}{l}\phantom{250)}0\phantom{2}\\250\overline{)13824}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 13824

$$\begin{array}{l}\phantom{250)}0\phantom{3}\\250\overline{)13824}\\\end{array}$$

Since 13 is less than 250, use the next digit 8 from dividend 13824 and add 0 to the quotient

$$\begin{array}{l}\phantom{250)}00\phantom{4}\\250\overline{)13824}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 13824

$$\begin{array}{l}\phantom{250)}00\phantom{5}\\250\overline{)13824}\\\end{array}$$

Since 138 is less than 250, use the next digit 2 from dividend 13824 and add 0 to the quotient

$$\begin{array}{l}\phantom{250)}000\phantom{6}\\250\overline{)13824}\\\end{array}$$

Use the 4^{th} digit 2 from dividend 13824

$$\begin{array}{l}\phantom{250)}000\phantom{7}\\250\overline{)13824}\\\end{array}$$

Find closest multiple of 250 to 1382. We see that 5 \times 250 = 1250 is the nearest. Now subtract 1250 from 1382 to get reminder 132. Add 5 to quotient.

$$\begin{array}{l}\phantom{250)}0005\phantom{8}\\250\overline{)13824}\\\phantom{250)}\underline{\phantom{}1250\phantom{9}}\\\phantom{250)9}132\\\end{array}$$

Use the 5^{th} digit 4 from dividend 13824

$$\begin{array}{l}\phantom{250)}0005\phantom{9}\\250\overline{)13824}\\\phantom{250)}\underline{\phantom{}1250\phantom{9}}\\\phantom{250)9}1324\\\end{array}$$

Find closest multiple of 250 to 1324. We see that 5 \times 250 = 1250 is the nearest. Now subtract 1250 from 1324 to get reminder 74. Add 5 to quotient.

$$\begin{array}{l}\phantom{250)}00055\phantom{10}\\250\overline{)13824}\\\phantom{250)}\underline{\phantom{}1250\phantom{9}}\\\phantom{250)9}1324\\\phantom{250)}\underline{\phantom{9}1250\phantom{}}\\\phantom{250)999}74\\\end{array}$$

Since 74 is less than 250, stop the division. The reminder is 74. The topmost line 00055 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 55.

$$\text{Quotient: }55 \text{Reminder: }74$$

Factor

$$\frac{2 ^ {8} \cdot 3 ^ {3}}{5 ^ {3}} = 55\frac{37}{125} = 55.296$$