Solve 5000/225

$$\frac{ 5000 }{ 225 }$$

Evaluate

$$\frac{200}{9}\approx 22.222222222$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 5000

$$\begin{array}{l}\phantom{225)}\phantom{1}\\225\overline{)5000}\\\end{array}$$

Since 5 is less than 225, use the next digit 0 from dividend 5000 and add 0 to the quotient

$$\begin{array}{l}\phantom{225)}0\phantom{2}\\225\overline{)5000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 5000

$$\begin{array}{l}\phantom{225)}0\phantom{3}\\225\overline{)5000}\\\end{array}$$

Since 50 is less than 225, use the next digit 0 from dividend 5000 and add 0 to the quotient

$$\begin{array}{l}\phantom{225)}00\phantom{4}\\225\overline{)5000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 5000

$$\begin{array}{l}\phantom{225)}00\phantom{5}\\225\overline{)5000}\\\end{array}$$

Find closest multiple of 225 to 500. We see that 2 \times 225 = 450 is the nearest. Now subtract 450 from 500 to get reminder 50. Add 2 to quotient.

$$\begin{array}{l}\phantom{225)}002\phantom{6}\\225\overline{)5000}\\\phantom{225)}\underline{\phantom{}450\phantom{9}}\\\phantom{225)9}50\\\end{array}$$

Use the 4^{th} digit 0 from dividend 5000

$$\begin{array}{l}\phantom{225)}002\phantom{7}\\225\overline{)5000}\\\phantom{225)}\underline{\phantom{}450\phantom{9}}\\\phantom{225)9}500\\\end{array}$$

Find closest multiple of 225 to 500. We see that 2 \times 225 = 450 is the nearest. Now subtract 450 from 500 to get reminder 50. Add 2 to quotient.

$$\begin{array}{l}\phantom{225)}0022\phantom{8}\\225\overline{)5000}\\\phantom{225)}\underline{\phantom{}450\phantom{9}}\\\phantom{225)9}500\\\phantom{225)}\underline{\phantom{9}450\phantom{}}\\\phantom{225)99}50\\\end{array}$$

Since 50 is less than 225, stop the division. The reminder is 50. The topmost line 0022 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 22.

$$\text{Quotient: }22 \text{Reminder: }50$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {2}}{3 ^ {2}} = 22\frac{2}{9} = 22.22222222222222$$