Solve 828div299

$$828 \div 299$$

Evaluate

$$\frac{36}{13}\approx 2.769230769$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 828

$$\begin{array}{l}\phantom{299)}\phantom{1}\\299\overline{)828}\\\end{array}$$

Since 8 is less than 299, use the next digit 2 from dividend 828 and add 0 to the quotient

$$\begin{array}{l}\phantom{299)}0\phantom{2}\\299\overline{)828}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 828

$$\begin{array}{l}\phantom{299)}0\phantom{3}\\299\overline{)828}\\\end{array}$$

Since 82 is less than 299, use the next digit 8 from dividend 828 and add 0 to the quotient

$$\begin{array}{l}\phantom{299)}00\phantom{4}\\299\overline{)828}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 828

$$\begin{array}{l}\phantom{299)}00\phantom{5}\\299\overline{)828}\\\end{array}$$

Find closest multiple of 299 to 828. We see that 2 \times 299 = 598 is the nearest. Now subtract 598 from 828 to get reminder 230. Add 2 to quotient.

$$\begin{array}{l}\phantom{299)}002\phantom{6}\\299\overline{)828}\\\phantom{299)}\underline{\phantom{}598\phantom{}}\\\phantom{299)}230\\\end{array}$$

Since 230 is less than 299, stop the division. The reminder is 230. The topmost line 002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }230$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {2}}{13} = 2\frac{10}{13} = 2.769230769230769$$