Solve 84/11

$$\frac{ 84 }{ 11 }$$

Evaluate

$$\frac{84}{11}\approx 7.636363636$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 84

$$\begin{array}{l}\phantom{11)}\phantom{1}\\11\overline{)84}\\\end{array}$$

Since 8 is less than 11, use the next digit 4 from dividend 84 and add 0 to the quotient

$$\begin{array}{l}\phantom{11)}0\phantom{2}\\11\overline{)84}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 84

$$\begin{array}{l}\phantom{11)}0\phantom{3}\\11\overline{)84}\\\end{array}$$

Find closest multiple of 11 to 84. We see that 7 \times 11 = 77 is the nearest. Now subtract 77 from 84 to get reminder 7. Add 7 to quotient.

$$\begin{array}{l}\phantom{11)}07\phantom{4}\\11\overline{)84}\\\phantom{11)}\underline{\phantom{}77\phantom{}}\\\phantom{11)9}7\\\end{array}$$

Since 7 is less than 11, stop the division. The reminder is 7. The topmost line 07 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7.

$$\text{Quotient: }7 \text{Reminder: }7$$

Factor

$$\frac{2 ^ {2} \cdot 3 \cdot 7}{11} = 7\frac{7}{11} = 7.636363636363637$$