Solve 25000div303

$$25000 \div 303$$

Evaluate

$$\frac{25000}{303}\approx 82.508250825$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 25000

$$\begin{array}{l}\phantom{303)}\phantom{1}\\303\overline{)25000}\\\end{array}$$

Since 2 is less than 303, use the next digit 5 from dividend 25000 and add 0 to the quotient

$$\begin{array}{l}\phantom{303)}0\phantom{2}\\303\overline{)25000}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 25000

$$\begin{array}{l}\phantom{303)}0\phantom{3}\\303\overline{)25000}\\\end{array}$$

Since 25 is less than 303, use the next digit 0 from dividend 25000 and add 0 to the quotient

$$\begin{array}{l}\phantom{303)}00\phantom{4}\\303\overline{)25000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 25000

$$\begin{array}{l}\phantom{303)}00\phantom{5}\\303\overline{)25000}\\\end{array}$$

Since 250 is less than 303, use the next digit 0 from dividend 25000 and add 0 to the quotient

$$\begin{array}{l}\phantom{303)}000\phantom{6}\\303\overline{)25000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 25000

$$\begin{array}{l}\phantom{303)}000\phantom{7}\\303\overline{)25000}\\\end{array}$$

Find closest multiple of 303 to 2500. We see that 8 \times 303 = 2424 is the nearest. Now subtract 2424 from 2500 to get reminder 76. Add 8 to quotient.

$$\begin{array}{l}\phantom{303)}0008\phantom{8}\\303\overline{)25000}\\\phantom{303)}\underline{\phantom{}2424\phantom{9}}\\\phantom{303)99}76\\\end{array}$$

Use the 5^{th} digit 0 from dividend 25000

$$\begin{array}{l}\phantom{303)}0008\phantom{9}\\303\overline{)25000}\\\phantom{303)}\underline{\phantom{}2424\phantom{9}}\\\phantom{303)99}760\\\end{array}$$

Find closest multiple of 303 to 760. We see that 2 \times 303 = 606 is the nearest. Now subtract 606 from 760 to get reminder 154. Add 2 to quotient.

$$\begin{array}{l}\phantom{303)}00082\phantom{10}\\303\overline{)25000}\\\phantom{303)}\underline{\phantom{}2424\phantom{9}}\\\phantom{303)99}760\\\phantom{303)}\underline{\phantom{99}606\phantom{}}\\\phantom{303)99}154\\\end{array}$$

Since 154 is less than 303, stop the division. The reminder is 154. The topmost line 00082 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 82.

$$\text{Quotient: }82 \text{Reminder: }154$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {5}}{3 \cdot 101} = 82\frac{154}{303} = 82.50825082508251$$