Solve 74/11

$$\frac{ 74 }{ 11 }$$

Evaluate

$$\frac{74}{11}\approx 6.727272727$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 74

$$\begin{array}{l}\phantom{11)}\phantom{1}\\11\overline{)74}\\\end{array}$$

Since 7 is less than 11, use the next digit 4 from dividend 74 and add 0 to the quotient

$$\begin{array}{l}\phantom{11)}0\phantom{2}\\11\overline{)74}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 74

$$\begin{array}{l}\phantom{11)}0\phantom{3}\\11\overline{)74}\\\end{array}$$

Find closest multiple of 11 to 74. We see that 6 \times 11 = 66 is the nearest. Now subtract 66 from 74 to get reminder 8. Add 6 to quotient.

$$\begin{array}{l}\phantom{11)}06\phantom{4}\\11\overline{)74}\\\phantom{11)}\underline{\phantom{}66\phantom{}}\\\phantom{11)9}8\\\end{array}$$

Since 8 is less than 11, stop the division. The reminder is 8. The topmost line 06 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6.

$$\text{Quotient: }6 \text{Reminder: }8$$

Factor

$$\frac{2 \cdot 37}{11} = 6\frac{8}{11} = 6.7272727272727275$$