Solve 2500/101

$$\frac{ 2500 }{ 101 }$$

Evaluate

$$\frac{2500}{101}\approx 24.752475248$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2500

$$\begin{array}{l}\phantom{101)}\phantom{1}\\101\overline{)2500}\\\end{array}$$

Since 2 is less than 101, use the next digit 5 from dividend 2500 and add 0 to the quotient

$$\begin{array}{l}\phantom{101)}0\phantom{2}\\101\overline{)2500}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 2500

$$\begin{array}{l}\phantom{101)}0\phantom{3}\\101\overline{)2500}\\\end{array}$$

Since 25 is less than 101, use the next digit 0 from dividend 2500 and add 0 to the quotient

$$\begin{array}{l}\phantom{101)}00\phantom{4}\\101\overline{)2500}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 2500

$$\begin{array}{l}\phantom{101)}00\phantom{5}\\101\overline{)2500}\\\end{array}$$

Find closest multiple of 101 to 250. We see that 2 \times 101 = 202 is the nearest. Now subtract 202 from 250 to get reminder 48. Add 2 to quotient.

$$\begin{array}{l}\phantom{101)}002\phantom{6}\\101\overline{)2500}\\\phantom{101)}\underline{\phantom{}202\phantom{9}}\\\phantom{101)9}48\\\end{array}$$

Use the 4^{th} digit 0 from dividend 2500

$$\begin{array}{l}\phantom{101)}002\phantom{7}\\101\overline{)2500}\\\phantom{101)}\underline{\phantom{}202\phantom{9}}\\\phantom{101)9}480\\\end{array}$$

Find closest multiple of 101 to 480. We see that 4 \times 101 = 404 is the nearest. Now subtract 404 from 480 to get reminder 76. Add 4 to quotient.

$$\begin{array}{l}\phantom{101)}0024\phantom{8}\\101\overline{)2500}\\\phantom{101)}\underline{\phantom{}202\phantom{9}}\\\phantom{101)9}480\\\phantom{101)}\underline{\phantom{9}404\phantom{}}\\\phantom{101)99}76\\\end{array}$$

Since 76 is less than 101, stop the division. The reminder is 76. The topmost line 0024 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 24.

$$\text{Quotient: }24 \text{Reminder: }76$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {4}}{101} = 24\frac{76}{101} = 24.752475247524753$$