Solve 12385/76

$$\frac{ 12385 }{ 76 }$$

Evaluate

$$\frac{12385}{76}\approx 162.960526316$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 12385

$$\begin{array}{l}\phantom{76)}\phantom{1}\\76\overline{)12385}\\\end{array}$$

Since 1 is less than 76, use the next digit 2 from dividend 12385 and add 0 to the quotient

$$\begin{array}{l}\phantom{76)}0\phantom{2}\\76\overline{)12385}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 12385

$$\begin{array}{l}\phantom{76)}0\phantom{3}\\76\overline{)12385}\\\end{array}$$

Since 12 is less than 76, use the next digit 3 from dividend 12385 and add 0 to the quotient

$$\begin{array}{l}\phantom{76)}00\phantom{4}\\76\overline{)12385}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 12385

$$\begin{array}{l}\phantom{76)}00\phantom{5}\\76\overline{)12385}\\\end{array}$$

Find closest multiple of 76 to 123. We see that 1 \times 76 = 76 is the nearest. Now subtract 76 from 123 to get reminder 47. Add 1 to quotient.

$$\begin{array}{l}\phantom{76)}001\phantom{6}\\76\overline{)12385}\\\phantom{76)}\underline{\phantom{9}76\phantom{99}}\\\phantom{76)9}47\\\end{array}$$

Use the 4^{th} digit 8 from dividend 12385

$$\begin{array}{l}\phantom{76)}001\phantom{7}\\76\overline{)12385}\\\phantom{76)}\underline{\phantom{9}76\phantom{99}}\\\phantom{76)9}478\\\end{array}$$

Find closest multiple of 76 to 478. We see that 6 \times 76 = 456 is the nearest. Now subtract 456 from 478 to get reminder 22. Add 6 to quotient.

$$\begin{array}{l}\phantom{76)}0016\phantom{8}\\76\overline{)12385}\\\phantom{76)}\underline{\phantom{9}76\phantom{99}}\\\phantom{76)9}478\\\phantom{76)}\underline{\phantom{9}456\phantom{9}}\\\phantom{76)99}22\\\end{array}$$

Use the 5^{th} digit 5 from dividend 12385

$$\begin{array}{l}\phantom{76)}0016\phantom{9}\\76\overline{)12385}\\\phantom{76)}\underline{\phantom{9}76\phantom{99}}\\\phantom{76)9}478\\\phantom{76)}\underline{\phantom{9}456\phantom{9}}\\\phantom{76)99}225\\\end{array}$$

Find closest multiple of 76 to 225. We see that 2 \times 76 = 152 is the nearest. Now subtract 152 from 225 to get reminder 73. Add 2 to quotient.

$$\begin{array}{l}\phantom{76)}00162\phantom{10}\\76\overline{)12385}\\\phantom{76)}\underline{\phantom{9}76\phantom{99}}\\\phantom{76)9}478\\\phantom{76)}\underline{\phantom{9}456\phantom{9}}\\\phantom{76)99}225\\\phantom{76)}\underline{\phantom{99}152\phantom{}}\\\phantom{76)999}73\\\end{array}$$

Since 73 is less than 76, stop the division. The reminder is 73. The topmost line 00162 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 162.

$$\text{Quotient: }162 \text{Reminder: }73$$

Factor

$$\frac{5 \cdot 2477}{2 ^ {2} \cdot 19} = 162\frac{73}{76} = 162.96052631578948$$