Solve 713/200

$$\frac { 713 } { 200 }$$

Evaluate

$$\frac{713}{200}=3.565$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 713

$$\begin{array}{l}\phantom{200)}\phantom{1}\\200\overline{)713}\\\end{array}$$

Since 7 is less than 200, use the next digit 1 from dividend 713 and add 0 to the quotient

$$\begin{array}{l}\phantom{200)}0\phantom{2}\\200\overline{)713}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 713

$$\begin{array}{l}\phantom{200)}0\phantom{3}\\200\overline{)713}\\\end{array}$$

Since 71 is less than 200, use the next digit 3 from dividend 713 and add 0 to the quotient

$$\begin{array}{l}\phantom{200)}00\phantom{4}\\200\overline{)713}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 713

$$\begin{array}{l}\phantom{200)}00\phantom{5}\\200\overline{)713}\\\end{array}$$

Find closest multiple of 200 to 713. We see that 3 \times 200 = 600 is the nearest. Now subtract 600 from 713 to get reminder 113. Add 3 to quotient.

$$\begin{array}{l}\phantom{200)}003\phantom{6}\\200\overline{)713}\\\phantom{200)}\underline{\phantom{}600\phantom{}}\\\phantom{200)}113\\\end{array}$$

Since 113 is less than 200, stop the division. The reminder is 113. The topmost line 003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }113$$

Factor

$$\frac{23 \cdot 31}{2 ^ {3} \cdot 5 ^ {2}} = 3\frac{113}{200} = 3.565$$