Solve 4108/338

$$\frac { 4108 } { 338 }$$

Evaluate

$$\frac{158}{13}\approx 12.153846154$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 4108

$$\begin{array}{l}\phantom{338)}\phantom{1}\\338\overline{)4108}\\\end{array}$$

Since 4 is less than 338, use the next digit 1 from dividend 4108 and add 0 to the quotient

$$\begin{array}{l}\phantom{338)}0\phantom{2}\\338\overline{)4108}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 4108

$$\begin{array}{l}\phantom{338)}0\phantom{3}\\338\overline{)4108}\\\end{array}$$

Since 41 is less than 338, use the next digit 0 from dividend 4108 and add 0 to the quotient

$$\begin{array}{l}\phantom{338)}00\phantom{4}\\338\overline{)4108}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 4108

$$\begin{array}{l}\phantom{338)}00\phantom{5}\\338\overline{)4108}\\\end{array}$$

Find closest multiple of 338 to 410. We see that 1 \times 338 = 338 is the nearest. Now subtract 338 from 410 to get reminder 72. Add 1 to quotient.

$$\begin{array}{l}\phantom{338)}001\phantom{6}\\338\overline{)4108}\\\phantom{338)}\underline{\phantom{}338\phantom{9}}\\\phantom{338)9}72\\\end{array}$$

Use the 4^{th} digit 8 from dividend 4108

$$\begin{array}{l}\phantom{338)}001\phantom{7}\\338\overline{)4108}\\\phantom{338)}\underline{\phantom{}338\phantom{9}}\\\phantom{338)9}728\\\end{array}$$

Find closest multiple of 338 to 728. We see that 2 \times 338 = 676 is the nearest. Now subtract 676 from 728 to get reminder 52. Add 2 to quotient.

$$\begin{array}{l}\phantom{338)}0012\phantom{8}\\338\overline{)4108}\\\phantom{338)}\underline{\phantom{}338\phantom{9}}\\\phantom{338)9}728\\\phantom{338)}\underline{\phantom{9}676\phantom{}}\\\phantom{338)99}52\\\end{array}$$

Since 52 is less than 338, stop the division. The reminder is 52. The topmost line 0012 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 12.

$$\text{Quotient: }12 \text{Reminder: }52$$

Factor

$$\frac{2 \cdot 79}{13} = 12\frac{2}{13} = 12.153846153846153$$