Solve 1260div375

$$1260 \div 375$$

Evaluate

$$\frac{84}{25}=3.36$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1260

$$\begin{array}{l}\phantom{375)}\phantom{1}\\375\overline{)1260}\\\end{array}$$

Since 1 is less than 375, use the next digit 2 from dividend 1260 and add 0 to the quotient

$$\begin{array}{l}\phantom{375)}0\phantom{2}\\375\overline{)1260}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 1260

$$\begin{array}{l}\phantom{375)}0\phantom{3}\\375\overline{)1260}\\\end{array}$$

Since 12 is less than 375, use the next digit 6 from dividend 1260 and add 0 to the quotient

$$\begin{array}{l}\phantom{375)}00\phantom{4}\\375\overline{)1260}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 1260

$$\begin{array}{l}\phantom{375)}00\phantom{5}\\375\overline{)1260}\\\end{array}$$

Since 126 is less than 375, use the next digit 0 from dividend 1260 and add 0 to the quotient

$$\begin{array}{l}\phantom{375)}000\phantom{6}\\375\overline{)1260}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 1260

$$\begin{array}{l}\phantom{375)}000\phantom{7}\\375\overline{)1260}\\\end{array}$$

Find closest multiple of 375 to 1260. We see that 3 \times 375 = 1125 is the nearest. Now subtract 1125 from 1260 to get reminder 135. Add 3 to quotient.

$$\begin{array}{l}\phantom{375)}0003\phantom{8}\\375\overline{)1260}\\\phantom{375)}\underline{\phantom{}1125\phantom{}}\\\phantom{375)9}135\\\end{array}$$

Since 135 is less than 375, stop the division. The reminder is 135. The topmost line 0003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }135$$

Factor

$$\frac{2 ^ {2} \cdot 3 \cdot 7}{5 ^ {2}} = 3\frac{9}{25} = 3.36$$