Solve 250/82

$$\frac { 250 } { 82 }$$

Evaluate

$$\frac{125}{41}\approx 3.048780488$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 250

$$\begin{array}{l}\phantom{82)}\phantom{1}\\82\overline{)250}\\\end{array}$$

Since 2 is less than 82, use the next digit 5 from dividend 250 and add 0 to the quotient

$$\begin{array}{l}\phantom{82)}0\phantom{2}\\82\overline{)250}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 250

$$\begin{array}{l}\phantom{82)}0\phantom{3}\\82\overline{)250}\\\end{array}$$

Since 25 is less than 82, use the next digit 0 from dividend 250 and add 0 to the quotient

$$\begin{array}{l}\phantom{82)}00\phantom{4}\\82\overline{)250}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 250

$$\begin{array}{l}\phantom{82)}00\phantom{5}\\82\overline{)250}\\\end{array}$$

Find closest multiple of 82 to 250. We see that 3 \times 82 = 246 is the nearest. Now subtract 246 from 250 to get reminder 4. Add 3 to quotient.

$$\begin{array}{l}\phantom{82)}003\phantom{6}\\82\overline{)250}\\\phantom{82)}\underline{\phantom{}246\phantom{}}\\\phantom{82)99}4\\\end{array}$$

Since 4 is less than 82, stop the division. The reminder is 4. The topmost line 003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }4$$

Factor

$$\frac{5 ^ {3}}{41} = 3\frac{2}{41} = 3.048780487804878$$