Solve 775div52

$$775 \div 52$$

Evaluate

$$\frac{775}{52}\approx 14.903846154$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 775

$$\begin{array}{l}\phantom{52)}\phantom{1}\\52\overline{)775}\\\end{array}$$

Since 7 is less than 52, use the next digit 7 from dividend 775 and add 0 to the quotient

$$\begin{array}{l}\phantom{52)}0\phantom{2}\\52\overline{)775}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 775

$$\begin{array}{l}\phantom{52)}0\phantom{3}\\52\overline{)775}\\\end{array}$$

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.

$$\begin{array}{l}\phantom{52)}01\phantom{4}\\52\overline{)775}\\\phantom{52)}\underline{\phantom{}52\phantom{9}}\\\phantom{52)}25\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 775

$$\begin{array}{l}\phantom{52)}01\phantom{5}\\52\overline{)775}\\\phantom{52)}\underline{\phantom{}52\phantom{9}}\\\phantom{52)}255\\\end{array}$$

Find closest multiple of 52 to 255. We see that 4 \times 52 = 208 is the nearest. Now subtract 208 from 255 to get reminder 47. Add 4 to quotient.

$$\begin{array}{l}\phantom{52)}014\phantom{6}\\52\overline{)775}\\\phantom{52)}\underline{\phantom{}52\phantom{9}}\\\phantom{52)}255\\\phantom{52)}\underline{\phantom{}208\phantom{}}\\\phantom{52)9}47\\\end{array}$$

Since 47 is less than 52, stop the division. The reminder is 47. The topmost line 014 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 14.

$$\text{Quotient: }14 \text{Reminder: }47$$

Factor

$$\frac{5 ^ {2} \cdot 31}{2 ^ {2} \cdot 13} = 14\frac{47}{52} = 14.903846153846153$$