Solve 75div36

$$75 \div 36$$

Evaluate

$$\frac{25}{12}\approx 2.083333333$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 75

$$\begin{array}{l}\phantom{36)}\phantom{1}\\36\overline{)75}\\\end{array}$$

Since 7 is less than 36, use the next digit 5 from dividend 75 and add 0 to the quotient

$$\begin{array}{l}\phantom{36)}0\phantom{2}\\36\overline{)75}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 75

$$\begin{array}{l}\phantom{36)}0\phantom{3}\\36\overline{)75}\\\end{array}$$

Find closest multiple of 36 to 75. We see that 2 \times 36 = 72 is the nearest. Now subtract 72 from 75 to get reminder 3. Add 2 to quotient.

$$\begin{array}{l}\phantom{36)}02\phantom{4}\\36\overline{)75}\\\phantom{36)}\underline{\phantom{}72\phantom{}}\\\phantom{36)9}3\\\end{array}$$

Since 3 is less than 36, stop the division. The reminder is 3. The topmost line 02 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }3$$

Factor

$$\frac{5 ^ {2}}{2 ^ {2} \cdot 3} = 2\frac{1}{12} = 2.0833333333333335$$