Solve 77:13

$$77 : 13$$

Evaluate

$$\frac{77}{13}\approx 5.923076923$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{13)}\phantom{1}\\13\overline{)77}\\\end{array}$$

Since 7 is less than 13, use the next digit 7 from dividend 77 and add 0 to the quotient

$$\begin{array}{l}\phantom{13)}0\phantom{2}\\13\overline{)77}\\\end{array}$$

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

$$\begin{array}{l}\phantom{13)}0\phantom{3}\\13\overline{)77}\\\end{array}$$

Find closest multiple of 13 to 77. We see that 5 \times 13 = 65 is the nearest. Now subtract 65 from 77 to get reminder 12. Add 5 to quotient.

$$\begin{array}{l}\phantom{13)}05\phantom{4}\\13\overline{)77}\\\phantom{13)}\underline{\phantom{}65\phantom{}}\\\phantom{13)}12\\\end{array}$$

Since 12 is less than 13, stop the division. The reminder is 12. The topmost line 05 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.

$$\text{Quotient: }5 \text{Reminder: }12$$

Factor

$$\frac{7 \cdot 11}{13} = 5\frac{12}{13} = 5.923076923076923$$