Solve 391/11

$$\frac{ 391 }{ 11 }$$

Evaluate

$$\frac{391}{11}\approx 35.545454545$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 391

$$\begin{array}{l}\phantom{11)}\phantom{1}\\11\overline{)391}\\\end{array}$$

Since 3 is less than 11, use the next digit 9 from dividend 391 and add 0 to the quotient

$$\begin{array}{l}\phantom{11)}0\phantom{2}\\11\overline{)391}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 391

$$\begin{array}{l}\phantom{11)}0\phantom{3}\\11\overline{)391}\\\end{array}$$

Find closest multiple of 11 to 39. We see that 3 \times 11 = 33 is the nearest. Now subtract 33 from 39 to get reminder 6. Add 3 to quotient.

$$\begin{array}{l}\phantom{11)}03\phantom{4}\\11\overline{)391}\\\phantom{11)}\underline{\phantom{}33\phantom{9}}\\\phantom{11)9}6\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 391

$$\begin{array}{l}\phantom{11)}03\phantom{5}\\11\overline{)391}\\\phantom{11)}\underline{\phantom{}33\phantom{9}}\\\phantom{11)9}61\\\end{array}$$

Find closest multiple of 11 to 61. We see that 5 \times 11 = 55 is the nearest. Now subtract 55 from 61 to get reminder 6. Add 5 to quotient.

$$\begin{array}{l}\phantom{11)}035\phantom{6}\\11\overline{)391}\\\phantom{11)}\underline{\phantom{}33\phantom{9}}\\\phantom{11)9}61\\\phantom{11)}\underline{\phantom{9}55\phantom{}}\\\phantom{11)99}6\\\end{array}$$

Since 6 is less than 11, stop the division. The reminder is 6. The topmost line 035 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 35.

$$\text{Quotient: }35 \text{Reminder: }6$$

Factor

$$\frac{17 \cdot 23}{11} = 35\frac{6}{11} = 35.54545454545455$$