Solve 10000div825

$$10000 \div 825$$

Evaluate

$$\frac{400}{33}\approx 12.121212121$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 10000

$$\begin{array}{l}\phantom{825)}\phantom{1}\\825\overline{)10000}\\\end{array}$$

Since 1 is less than 825, use the next digit 0 from dividend 10000 and add 0 to the quotient

$$\begin{array}{l}\phantom{825)}0\phantom{2}\\825\overline{)10000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 10000

$$\begin{array}{l}\phantom{825)}0\phantom{3}\\825\overline{)10000}\\\end{array}$$

Since 10 is less than 825, use the next digit 0 from dividend 10000 and add 0 to the quotient

$$\begin{array}{l}\phantom{825)}00\phantom{4}\\825\overline{)10000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 10000

$$\begin{array}{l}\phantom{825)}00\phantom{5}\\825\overline{)10000}\\\end{array}$$

Since 100 is less than 825, use the next digit 0 from dividend 10000 and add 0 to the quotient

$$\begin{array}{l}\phantom{825)}000\phantom{6}\\825\overline{)10000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 10000

$$\begin{array}{l}\phantom{825)}000\phantom{7}\\825\overline{)10000}\\\end{array}$$

Find closest multiple of 825 to 1000. We see that 1 \times 825 = 825 is the nearest. Now subtract 825 from 1000 to get reminder 175. Add 1 to quotient.

$$\begin{array}{l}\phantom{825)}0001\phantom{8}\\825\overline{)10000}\\\phantom{825)}\underline{\phantom{9}825\phantom{9}}\\\phantom{825)9}175\\\end{array}$$

Use the 5^{th} digit 0 from dividend 10000

$$\begin{array}{l}\phantom{825)}0001\phantom{9}\\825\overline{)10000}\\\phantom{825)}\underline{\phantom{9}825\phantom{9}}\\\phantom{825)9}1750\\\end{array}$$

Find closest multiple of 825 to 1750. We see that 2 \times 825 = 1650 is the nearest. Now subtract 1650 from 1750 to get reminder 100. Add 2 to quotient.

$$\begin{array}{l}\phantom{825)}00012\phantom{10}\\825\overline{)10000}\\\phantom{825)}\underline{\phantom{9}825\phantom{9}}\\\phantom{825)9}1750\\\phantom{825)}\underline{\phantom{9}1650\phantom{}}\\\phantom{825)99}100\\\end{array}$$

Since 100 is less than 825, stop the division. The reminder is 100. The topmost line 00012 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 12.

$$\text{Quotient: }12 \text{Reminder: }100$$

Factor

$$\frac{2 ^ {4} \cdot 5 ^ {2}}{3 \cdot 11} = 12\frac{4}{33} = 12.121212121212121$$