Solve 14520/248

$$\frac { 14520 } { 248 }$$

Evaluate

$$\frac{1815}{31}\approx 58.548387097$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 14520

$$\begin{array}{l}\phantom{248)}\phantom{1}\\248\overline{)14520}\\\end{array}$$

Since 1 is less than 248, use the next digit 4 from dividend 14520 and add 0 to the quotient

$$\begin{array}{l}\phantom{248)}0\phantom{2}\\248\overline{)14520}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 14520

$$\begin{array}{l}\phantom{248)}0\phantom{3}\\248\overline{)14520}\\\end{array}$$

Since 14 is less than 248, use the next digit 5 from dividend 14520 and add 0 to the quotient

$$\begin{array}{l}\phantom{248)}00\phantom{4}\\248\overline{)14520}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 14520

$$\begin{array}{l}\phantom{248)}00\phantom{5}\\248\overline{)14520}\\\end{array}$$

Since 145 is less than 248, use the next digit 2 from dividend 14520 and add 0 to the quotient

$$\begin{array}{l}\phantom{248)}000\phantom{6}\\248\overline{)14520}\\\end{array}$$

Use the 4^{th} digit 2 from dividend 14520

$$\begin{array}{l}\phantom{248)}000\phantom{7}\\248\overline{)14520}\\\end{array}$$

Find closest multiple of 248 to 1452. We see that 5 \times 248 = 1240 is the nearest. Now subtract 1240 from 1452 to get reminder 212. Add 5 to quotient.

$$\begin{array}{l}\phantom{248)}0005\phantom{8}\\248\overline{)14520}\\\phantom{248)}\underline{\phantom{}1240\phantom{9}}\\\phantom{248)9}212\\\end{array}$$

Use the 5^{th} digit 0 from dividend 14520

$$\begin{array}{l}\phantom{248)}0005\phantom{9}\\248\overline{)14520}\\\phantom{248)}\underline{\phantom{}1240\phantom{9}}\\\phantom{248)9}2120\\\end{array}$$

Find closest multiple of 248 to 2120. We see that 8 \times 248 = 1984 is the nearest. Now subtract 1984 from 2120 to get reminder 136. Add 8 to quotient.

$$\begin{array}{l}\phantom{248)}00058\phantom{10}\\248\overline{)14520}\\\phantom{248)}\underline{\phantom{}1240\phantom{9}}\\\phantom{248)9}2120\\\phantom{248)}\underline{\phantom{9}1984\phantom{}}\\\phantom{248)99}136\\\end{array}$$

Since 136 is less than 248, stop the division. The reminder is 136. The topmost line 00058 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 58.

$$\text{Quotient: }58 \text{Reminder: }136$$

Factor

$$\frac{3 \cdot 5 \cdot 11 ^ {2}}{31} = 58\frac{17}{31} = 58.54838709677419$$