Solve 15300/6750

$$\frac { 15300 } { 6750 }$$

Evaluate

$$\frac{34}{15}\approx 2.266666667$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 15300

$$\begin{array}{l}\phantom{6750)}\phantom{1}\\6750\overline{)15300}\\\end{array}$$

Since 1 is less than 6750, use the next digit 5 from dividend 15300 and add 0 to the quotient

$$\begin{array}{l}\phantom{6750)}0\phantom{2}\\6750\overline{)15300}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 15300

$$\begin{array}{l}\phantom{6750)}0\phantom{3}\\6750\overline{)15300}\\\end{array}$$

Since 15 is less than 6750, use the next digit 3 from dividend 15300 and add 0 to the quotient

$$\begin{array}{l}\phantom{6750)}00\phantom{4}\\6750\overline{)15300}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 15300

$$\begin{array}{l}\phantom{6750)}00\phantom{5}\\6750\overline{)15300}\\\end{array}$$

Since 153 is less than 6750, use the next digit 0 from dividend 15300 and add 0 to the quotient

$$\begin{array}{l}\phantom{6750)}000\phantom{6}\\6750\overline{)15300}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 15300

$$\begin{array}{l}\phantom{6750)}000\phantom{7}\\6750\overline{)15300}\\\end{array}$$

Since 1530 is less than 6750, use the next digit 0 from dividend 15300 and add 0 to the quotient

$$\begin{array}{l}\phantom{6750)}0000\phantom{8}\\6750\overline{)15300}\\\end{array}$$

Use the 5^{th} digit 0 from dividend 15300

$$\begin{array}{l}\phantom{6750)}0000\phantom{9}\\6750\overline{)15300}\\\end{array}$$

Find closest multiple of 6750 to 15300. We see that 2 \times 6750 = 13500 is the nearest. Now subtract 13500 from 15300 to get reminder 1800. Add 2 to quotient.

$$\begin{array}{l}\phantom{6750)}00002\phantom{10}\\6750\overline{)15300}\\\phantom{6750)}\underline{\phantom{}13500\phantom{}}\\\phantom{6750)9}1800\\\end{array}$$

Since 1800 is less than 6750, stop the division. The reminder is 1800. The topmost line 00002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }1800$$

Factor

$$\frac{2 \cdot 17}{3 \cdot 5} = 2\frac{4}{15} = 2.2666666666666666$$