Solve 7065/3140

$$\frac { 7065 } { 3140 }$$

Evaluate

$$\frac{9}{4}=2.25$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 7065

$$\begin{array}{l}\phantom{3140)}\phantom{1}\\3140\overline{)7065}\\\end{array}$$

Since 7 is less than 3140, use the next digit 0 from dividend 7065 and add 0 to the quotient

$$\begin{array}{l}\phantom{3140)}0\phantom{2}\\3140\overline{)7065}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 7065

$$\begin{array}{l}\phantom{3140)}0\phantom{3}\\3140\overline{)7065}\\\end{array}$$

Since 70 is less than 3140, use the next digit 6 from dividend 7065 and add 0 to the quotient

$$\begin{array}{l}\phantom{3140)}00\phantom{4}\\3140\overline{)7065}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 7065

$$\begin{array}{l}\phantom{3140)}00\phantom{5}\\3140\overline{)7065}\\\end{array}$$

Since 706 is less than 3140, use the next digit 5 from dividend 7065 and add 0 to the quotient

$$\begin{array}{l}\phantom{3140)}000\phantom{6}\\3140\overline{)7065}\\\end{array}$$

Use the 4^{th} digit 5 from dividend 7065

$$\begin{array}{l}\phantom{3140)}000\phantom{7}\\3140\overline{)7065}\\\end{array}$$

Find closest multiple of 3140 to 7065. We see that 2 \times 3140 = 6280 is the nearest. Now subtract 6280 from 7065 to get reminder 785. Add 2 to quotient.

$$\begin{array}{l}\phantom{3140)}0002\phantom{8}\\3140\overline{)7065}\\\phantom{3140)}\underline{\phantom{}6280\phantom{}}\\\phantom{3140)9}785\\\end{array}$$

Since 785 is less than 3140, stop the division. The reminder is 785. The topmost line 0002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }785$$

Factor

$$\frac{3 ^ {2}}{2 ^ {2}} = 2\frac{1}{4} = 2.25$$