Solve 30375/7290

$$\frac{ 30375 }{ 7290 }$$

Evaluate

$$\frac{25}{6}\approx 4.166666667$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 30375

$$\begin{array}{l}\phantom{7290)}\phantom{1}\\7290\overline{)30375}\\\end{array}$$

Since 3 is less than 7290, use the next digit 0 from dividend 30375 and add 0 to the quotient

$$\begin{array}{l}\phantom{7290)}0\phantom{2}\\7290\overline{)30375}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 30375

$$\begin{array}{l}\phantom{7290)}0\phantom{3}\\7290\overline{)30375}\\\end{array}$$

Since 30 is less than 7290, use the next digit 3 from dividend 30375 and add 0 to the quotient

$$\begin{array}{l}\phantom{7290)}00\phantom{4}\\7290\overline{)30375}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 30375

$$\begin{array}{l}\phantom{7290)}00\phantom{5}\\7290\overline{)30375}\\\end{array}$$

Since 303 is less than 7290, use the next digit 7 from dividend 30375 and add 0 to the quotient

$$\begin{array}{l}\phantom{7290)}000\phantom{6}\\7290\overline{)30375}\\\end{array}$$

Use the 4^{th} digit 7 from dividend 30375

$$\begin{array}{l}\phantom{7290)}000\phantom{7}\\7290\overline{)30375}\\\end{array}$$

Since 3037 is less than 7290, use the next digit 5 from dividend 30375 and add 0 to the quotient

$$\begin{array}{l}\phantom{7290)}0000\phantom{8}\\7290\overline{)30375}\\\end{array}$$

Use the 5^{th} digit 5 from dividend 30375

$$\begin{array}{l}\phantom{7290)}0000\phantom{9}\\7290\overline{)30375}\\\end{array}$$

Find closest multiple of 7290 to 30375. We see that 4 \times 7290 = 29160 is the nearest. Now subtract 29160 from 30375 to get reminder 1215. Add 4 to quotient.

$$\begin{array}{l}\phantom{7290)}00004\phantom{10}\\7290\overline{)30375}\\\phantom{7290)}\underline{\phantom{}29160\phantom{}}\\\phantom{7290)9}1215\\\end{array}$$

Since 1215 is less than 7290, stop the division. The reminder is 1215. The topmost line 00004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.

$$\text{Quotient: }4 \text{Reminder: }1215$$

Factor

$$\frac{5 ^ {2}}{2 \cdot 3} = 4\frac{1}{6} = 4.166666666666667$$