Solve 276div75

$$276 \div 75$$

Evaluate

$$\frac{92}{25}=3.68$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 276

$$\begin{array}{l}\phantom{75)}\phantom{1}\\75\overline{)276}\\\end{array}$$

Since 2 is less than 75, use the next digit 7 from dividend 276 and add 0 to the quotient

$$\begin{array}{l}\phantom{75)}0\phantom{2}\\75\overline{)276}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 276

$$\begin{array}{l}\phantom{75)}0\phantom{3}\\75\overline{)276}\\\end{array}$$

Since 27 is less than 75, use the next digit 6 from dividend 276 and add 0 to the quotient

$$\begin{array}{l}\phantom{75)}00\phantom{4}\\75\overline{)276}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 276

$$\begin{array}{l}\phantom{75)}00\phantom{5}\\75\overline{)276}\\\end{array}$$

Find closest multiple of 75 to 276. We see that 3 \times 75 = 225 is the nearest. Now subtract 225 from 276 to get reminder 51. Add 3 to quotient.

$$\begin{array}{l}\phantom{75)}003\phantom{6}\\75\overline{)276}\\\phantom{75)}\underline{\phantom{}225\phantom{}}\\\phantom{75)9}51\\\end{array}$$

Since 51 is less than 75, stop the division. The reminder is 51. The topmost line 003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }51$$

Factor

$$\frac{2 ^ {2} \cdot 23}{5 ^ {2}} = 3\frac{17}{25} = 3.68$$