Solve 77/12

$$\frac { 77 } { 12 }$$

Evaluate

$$\frac{77}{12}\approx 6.416666667$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 77

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)77}\\\end{array}$$

Since 7 is less than 12, use the next digit 7 from dividend 77 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)77}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 77

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)77}\\\end{array}$$

Find closest multiple of 12 to 77. We see that 6 \times 12 = 72 is the nearest. Now subtract 72 from 77 to get reminder 5. Add 6 to quotient.

$$\begin{array}{l}\phantom{12)}06\phantom{4}\\12\overline{)77}\\\phantom{12)}\underline{\phantom{}72\phantom{}}\\\phantom{12)9}5\\\end{array}$$

Since 5 is less than 12, stop the division. The reminder is 5. The topmost line 06 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6.

$$\text{Quotient: }6 \text{Reminder: }5$$

Factor

$$\frac{7 \cdot 11}{2 ^ {2} \cdot 3} = 6\frac{5}{12} = 6.416666666666667$$