Solve 10000div2222

$$10000 \div 2222$$

Evaluate

$$\frac{5000}{1111}\approx 4.500450045$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{2222)}\phantom{1}\\2222\overline{)10000}\\\end{array}$$

Since 1 is less than 2222, use the next digit 0 from dividend 10000 and add 0 to the quotient

$$\begin{array}{l}\phantom{2222)}0\phantom{2}\\2222\overline{)10000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{2222)}0\phantom{3}\\2222\overline{)10000}\\\end{array}$$

Since 10 is less than 2222, use the next digit 0 from dividend 10000 and add 0 to the quotient

$$\begin{array}{l}\phantom{2222)}00\phantom{4}\\2222\overline{)10000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{2222)}00\phantom{5}\\2222\overline{)10000}\\\end{array}$$

Since 100 is less than 2222, use the next digit 0 from dividend 10000 and add 0 to the quotient

$$\begin{array}{l}\phantom{2222)}000\phantom{6}\\2222\overline{)10000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{2222)}000\phantom{7}\\2222\overline{)10000}\\\end{array}$$

Since 1000 is less than 2222, use the next digit 0 from dividend 10000 and add 0 to the quotient

$$\begin{array}{l}\phantom{2222)}0000\phantom{8}\\2222\overline{)10000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{2222)}0000\phantom{9}\\2222\overline{)10000}\\\end{array}$$

Find closest multiple of 2222 to 10000. We see that 4 \times 2222 = 8888 is the nearest. Now subtract 8888 from 10000 to get reminder 1112. Add 4 to quotient.

$$\begin{array}{l}\phantom{2222)}00004\phantom{10}\\2222\overline{)10000}\\\phantom{2222)}\underline{\phantom{9}8888\phantom{}}\\\phantom{2222)9}1112\\\end{array}$$

Since 1112 is less than 2222, stop the division. The reminder is 1112. The topmost line 00004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.

$$\text{Quotient: }4 \text{Reminder: }1112$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {4}}{11 \cdot 101} = 4\frac{556}{1111} = 4.5004500450045$$