Solve 12320/2710

$$\frac { 12320 } { 2710 }$$

Evaluate

$$\frac{1232}{271}\approx 4.546125461$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 12320

$$\begin{array}{l}\phantom{2710)}\phantom{1}\\2710\overline{)12320}\\\end{array}$$

Since 1 is less than 2710, use the next digit 2 from dividend 12320 and add 0 to the quotient

$$\begin{array}{l}\phantom{2710)}0\phantom{2}\\2710\overline{)12320}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 12320

$$\begin{array}{l}\phantom{2710)}0\phantom{3}\\2710\overline{)12320}\\\end{array}$$

Since 12 is less than 2710, use the next digit 3 from dividend 12320 and add 0 to the quotient

$$\begin{array}{l}\phantom{2710)}00\phantom{4}\\2710\overline{)12320}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 12320

$$\begin{array}{l}\phantom{2710)}00\phantom{5}\\2710\overline{)12320}\\\end{array}$$

Since 123 is less than 2710, use the next digit 2 from dividend 12320 and add 0 to the quotient

$$\begin{array}{l}\phantom{2710)}000\phantom{6}\\2710\overline{)12320}\\\end{array}$$

Use the 4^{th} digit 2 from dividend 12320

$$\begin{array}{l}\phantom{2710)}000\phantom{7}\\2710\overline{)12320}\\\end{array}$$

Since 1232 is less than 2710, use the next digit 0 from dividend 12320 and add 0 to the quotient

$$\begin{array}{l}\phantom{2710)}0000\phantom{8}\\2710\overline{)12320}\\\end{array}$$

Use the 5^{th} digit 0 from dividend 12320

$$\begin{array}{l}\phantom{2710)}0000\phantom{9}\\2710\overline{)12320}\\\end{array}$$

Find closest multiple of 2710 to 12320. We see that 4 \times 2710 = 10840 is the nearest. Now subtract 10840 from 12320 to get reminder 1480. Add 4 to quotient.

$$\begin{array}{l}\phantom{2710)}00004\phantom{10}\\2710\overline{)12320}\\\phantom{2710)}\underline{\phantom{}10840\phantom{}}\\\phantom{2710)9}1480\\\end{array}$$

Since 1480 is less than 2710, stop the division. The reminder is 1480. The topmost line 00004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.

$$\text{Quotient: }4 \text{Reminder: }1480$$

Factor

$$\frac{2 ^ {4} \cdot 7 \cdot 11}{271} = 4\frac{148}{271} = 4.546125461254612$$