Solve 34/11

$$\frac { 34 } { 11 }$$

Evaluate

$$\frac{34}{11}\approx 3.090909091$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 34

$$\begin{array}{l}\phantom{11)}\phantom{1}\\11\overline{)34}\\\end{array}$$

Since 3 is less than 11, use the next digit 4 from dividend 34 and add 0 to the quotient

$$\begin{array}{l}\phantom{11)}0\phantom{2}\\11\overline{)34}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 34

$$\begin{array}{l}\phantom{11)}0\phantom{3}\\11\overline{)34}\\\end{array}$$

Find closest multiple of 11 to 34. We see that 3 \times 11 = 33 is the nearest. Now subtract 33 from 34 to get reminder 1. Add 3 to quotient.

$$\begin{array}{l}\phantom{11)}03\phantom{4}\\11\overline{)34}\\\phantom{11)}\underline{\phantom{}33\phantom{}}\\\phantom{11)9}1\\\end{array}$$

Since 1 is less than 11, stop the division. The reminder is 1. The topmost line 03 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }1$$

Factor

$$\frac{2 \cdot 17}{11} = 3\frac{1}{11} = 3.090909090909091$$