Solve 75131/6222

$$\frac{ 75131 }{ 6222 }$$

Evaluate

$$\frac{75131}{6222}\approx 12.075056252$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 75131

$$\begin{array}{l}\phantom{6222)}\phantom{1}\\6222\overline{)75131}\\\end{array}$$

Since 7 is less than 6222, use the next digit 5 from dividend 75131 and add 0 to the quotient

$$\begin{array}{l}\phantom{6222)}0\phantom{2}\\6222\overline{)75131}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 75131

$$\begin{array}{l}\phantom{6222)}0\phantom{3}\\6222\overline{)75131}\\\end{array}$$

Since 75 is less than 6222, use the next digit 1 from dividend 75131 and add 0 to the quotient

$$\begin{array}{l}\phantom{6222)}00\phantom{4}\\6222\overline{)75131}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 75131

$$\begin{array}{l}\phantom{6222)}00\phantom{5}\\6222\overline{)75131}\\\end{array}$$

Since 751 is less than 6222, use the next digit 3 from dividend 75131 and add 0 to the quotient

$$\begin{array}{l}\phantom{6222)}000\phantom{6}\\6222\overline{)75131}\\\end{array}$$

Use the 4^{th} digit 3 from dividend 75131

$$\begin{array}{l}\phantom{6222)}000\phantom{7}\\6222\overline{)75131}\\\end{array}$$

Find closest multiple of 6222 to 7513. We see that 1 \times 6222 = 6222 is the nearest. Now subtract 6222 from 7513 to get reminder 1291. Add 1 to quotient.

$$\begin{array}{l}\phantom{6222)}0001\phantom{8}\\6222\overline{)75131}\\\phantom{6222)}\underline{\phantom{}6222\phantom{9}}\\\phantom{6222)}1291\\\end{array}$$

Use the 5^{th} digit 1 from dividend 75131

$$\begin{array}{l}\phantom{6222)}0001\phantom{9}\\6222\overline{)75131}\\\phantom{6222)}\underline{\phantom{}6222\phantom{9}}\\\phantom{6222)}12911\\\end{array}$$

Find closest multiple of 6222 to 12911. We see that 2 \times 6222 = 12444 is the nearest. Now subtract 12444 from 12911 to get reminder 467. Add 2 to quotient.

$$\begin{array}{l}\phantom{6222)}00012\phantom{10}\\6222\overline{)75131}\\\phantom{6222)}\underline{\phantom{}6222\phantom{9}}\\\phantom{6222)}12911\\\phantom{6222)}\underline{\phantom{}12444\phantom{}}\\\phantom{6222)99}467\\\end{array}$$

Since 467 is less than 6222, stop the division. The reminder is 467. The topmost line 00012 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 12.

$$\text{Quotient: }12 \text{Reminder: }467$$

Factor

$$\frac{7 \cdot 10733}{2 \cdot 3 \cdot 17 \cdot 61} = 12\frac{467}{6222} = 12.075056252009$$