Solve 223/71

$$\frac { 223 } { 71 }$$

Evaluate

$$\frac{223}{71}\approx 3.14084507$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 223

$$\begin{array}{l}\phantom{71)}\phantom{1}\\71\overline{)223}\\\end{array}$$

Since 2 is less than 71, use the next digit 2 from dividend 223 and add 0 to the quotient

$$\begin{array}{l}\phantom{71)}0\phantom{2}\\71\overline{)223}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 223

$$\begin{array}{l}\phantom{71)}0\phantom{3}\\71\overline{)223}\\\end{array}$$

Since 22 is less than 71, use the next digit 3 from dividend 223 and add 0 to the quotient

$$\begin{array}{l}\phantom{71)}00\phantom{4}\\71\overline{)223}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 223

$$\begin{array}{l}\phantom{71)}00\phantom{5}\\71\overline{)223}\\\end{array}$$

Find closest multiple of 71 to 223. We see that 3 \times 71 = 213 is the nearest. Now subtract 213 from 223 to get reminder 10. Add 3 to quotient.

$$\begin{array}{l}\phantom{71)}003\phantom{6}\\71\overline{)223}\\\phantom{71)}\underline{\phantom{}213\phantom{}}\\\phantom{71)9}10\\\end{array}$$

Since 10 is less than 71, stop the division. The reminder is 10. The topmost line 003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }10$$

Factor

$$\frac{223}{71} = 3\frac{10}{71} = 3.140845070422535$$