Solve 19626/6248

$$\frac { 19626 } { 6248 }$$

Evaluate

$$\frac{9813}{3124}\approx 3.141165173$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 19626

$$\begin{array}{l}\phantom{6248)}\phantom{1}\\6248\overline{)19626}\\\end{array}$$

Since 1 is less than 6248, use the next digit 9 from dividend 19626 and add 0 to the quotient

$$\begin{array}{l}\phantom{6248)}0\phantom{2}\\6248\overline{)19626}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 19626

$$\begin{array}{l}\phantom{6248)}0\phantom{3}\\6248\overline{)19626}\\\end{array}$$

Since 19 is less than 6248, use the next digit 6 from dividend 19626 and add 0 to the quotient

$$\begin{array}{l}\phantom{6248)}00\phantom{4}\\6248\overline{)19626}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 19626

$$\begin{array}{l}\phantom{6248)}00\phantom{5}\\6248\overline{)19626}\\\end{array}$$

Since 196 is less than 6248, use the next digit 2 from dividend 19626 and add 0 to the quotient

$$\begin{array}{l}\phantom{6248)}000\phantom{6}\\6248\overline{)19626}\\\end{array}$$

Use the 4^{th} digit 2 from dividend 19626

$$\begin{array}{l}\phantom{6248)}000\phantom{7}\\6248\overline{)19626}\\\end{array}$$

Since 1962 is less than 6248, use the next digit 6 from dividend 19626 and add 0 to the quotient

$$\begin{array}{l}\phantom{6248)}0000\phantom{8}\\6248\overline{)19626}\\\end{array}$$

Use the 5^{th} digit 6 from dividend 19626

$$\begin{array}{l}\phantom{6248)}0000\phantom{9}\\6248\overline{)19626}\\\end{array}$$

Find closest multiple of 6248 to 19626. We see that 3 \times 6248 = 18744 is the nearest. Now subtract 18744 from 19626 to get reminder 882. Add 3 to quotient.

$$\begin{array}{l}\phantom{6248)}00003\phantom{10}\\6248\overline{)19626}\\\phantom{6248)}\underline{\phantom{}18744\phantom{}}\\\phantom{6248)99}882\\\end{array}$$

Since 882 is less than 6248, stop the division. The reminder is 882. The topmost line 00003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }882$$

Factor

$$\frac{3 \cdot 3271}{2 ^ {2} \cdot 11 \cdot 71} = 3\frac{441}{3124} = 3.1411651728553136$$