Solve 382:13

$$382 : 13$$

Evaluate

$$\frac{382}{13}\approx 29.384615385$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 382

$$\begin{array}{l}\phantom{13)}\phantom{1}\\13\overline{)382}\\\end{array}$$

Since 3 is less than 13, use the next digit 8 from dividend 382 and add 0 to the quotient

$$\begin{array}{l}\phantom{13)}0\phantom{2}\\13\overline{)382}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 382

$$\begin{array}{l}\phantom{13)}0\phantom{3}\\13\overline{)382}\\\end{array}$$

Find closest multiple of 13 to 38. We see that 2 \times 13 = 26 is the nearest. Now subtract 26 from 38 to get reminder 12. Add 2 to quotient.

$$\begin{array}{l}\phantom{13)}02\phantom{4}\\13\overline{)382}\\\phantom{13)}\underline{\phantom{}26\phantom{9}}\\\phantom{13)}12\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 382

$$\begin{array}{l}\phantom{13)}02\phantom{5}\\13\overline{)382}\\\phantom{13)}\underline{\phantom{}26\phantom{9}}\\\phantom{13)}122\\\end{array}$$

Find closest multiple of 13 to 122. We see that 9 \times 13 = 117 is the nearest. Now subtract 117 from 122 to get reminder 5. Add 9 to quotient.

$$\begin{array}{l}\phantom{13)}029\phantom{6}\\13\overline{)382}\\\phantom{13)}\underline{\phantom{}26\phantom{9}}\\\phantom{13)}122\\\phantom{13)}\underline{\phantom{}117\phantom{}}\\\phantom{13)99}5\\\end{array}$$

Since 5 is less than 13, stop the division. The reminder is 5. The topmost line 029 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 29.

$$\text{Quotient: }29 \text{Reminder: }5$$

Factor

$$\frac{2 \cdot 191}{13} = 29\frac{5}{13} = 29.384615384615383$$