Solve 77/52

$$\frac{ 77 }{ 52 }$$

Evaluate

$$\frac{77}{52}\approx 1.480769231$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{52)}\phantom{1}\\52\overline{)77}\\\end{array}$$

Since 7 is less than 52, use the next digit 7 from dividend 77 and add 0 to the quotient

$$\begin{array}{l}\phantom{52)}0\phantom{2}\\52\overline{)77}\\\end{array}$$

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

$$\begin{array}{l}\phantom{52)}0\phantom{3}\\52\overline{)77}\\\end{array}$$

Find closest multiple of 52 to 77. We see that 1 \times 52 = 52 is the nearest. Now subtract 52 from 77 to get reminder 25. Add 1 to quotient.

$$\begin{array}{l}\phantom{52)}01\phantom{4}\\52\overline{)77}\\\phantom{52)}\underline{\phantom{}52\phantom{}}\\\phantom{52)}25\\\end{array}$$

Since 25 is less than 52, stop the division. The reminder is 25. The topmost line 01 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }25$$

Factor

$$\frac{7 \cdot 11}{2 ^ {2} \cdot 13} = 1\frac{25}{52} = 1.4807692307692308$$