Solve 35/12

$$\frac { 35 } { 12 }$$

Evaluate

$$\frac{35}{12}\approx 2.916666667$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 35

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)35}\\\end{array}$$

Since 3 is less than 12, use the next digit 5 from dividend 35 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)35}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 35

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)35}\\\end{array}$$

Find closest multiple of 12 to 35. We see that 2 \times 12 = 24 is the nearest. Now subtract 24 from 35 to get reminder 11. Add 2 to quotient.

$$\begin{array}{l}\phantom{12)}02\phantom{4}\\12\overline{)35}\\\phantom{12)}\underline{\phantom{}24\phantom{}}\\\phantom{12)}11\\\end{array}$$

Since 11 is less than 12, stop the division. The reminder is 11. The topmost line 02 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }11$$

Factor

$$\frac{5 \cdot 7}{2 ^ {2} \cdot 3} = 2\frac{11}{12} = 2.9166666666666665$$