Solve 20529div225

$$20529 \div 225$$

Evaluate

$$\frac{2281}{25}=91.24$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 20529

$$\begin{array}{l}\phantom{225)}\phantom{1}\\225\overline{)20529}\\\end{array}$$

Since 2 is less than 225, use the next digit 0 from dividend 20529 and add 0 to the quotient

$$\begin{array}{l}\phantom{225)}0\phantom{2}\\225\overline{)20529}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 20529

$$\begin{array}{l}\phantom{225)}0\phantom{3}\\225\overline{)20529}\\\end{array}$$

Since 20 is less than 225, use the next digit 5 from dividend 20529 and add 0 to the quotient

$$\begin{array}{l}\phantom{225)}00\phantom{4}\\225\overline{)20529}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 20529

$$\begin{array}{l}\phantom{225)}00\phantom{5}\\225\overline{)20529}\\\end{array}$$

Since 205 is less than 225, use the next digit 2 from dividend 20529 and add 0 to the quotient

$$\begin{array}{l}\phantom{225)}000\phantom{6}\\225\overline{)20529}\\\end{array}$$

Use the 4^{th} digit 2 from dividend 20529

$$\begin{array}{l}\phantom{225)}000\phantom{7}\\225\overline{)20529}\\\end{array}$$

Find closest multiple of 225 to 2052. We see that 9 \times 225 = 2025 is the nearest. Now subtract 2025 from 2052 to get reminder 27. Add 9 to quotient.

$$\begin{array}{l}\phantom{225)}0009\phantom{8}\\225\overline{)20529}\\\phantom{225)}\underline{\phantom{}2025\phantom{9}}\\\phantom{225)99}27\\\end{array}$$

Use the 5^{th} digit 9 from dividend 20529

$$\begin{array}{l}\phantom{225)}0009\phantom{9}\\225\overline{)20529}\\\phantom{225)}\underline{\phantom{}2025\phantom{9}}\\\phantom{225)99}279\\\end{array}$$

Find closest multiple of 225 to 279. We see that 1 \times 225 = 225 is the nearest. Now subtract 225 from 279 to get reminder 54. Add 1 to quotient.

$$\begin{array}{l}\phantom{225)}00091\phantom{10}\\225\overline{)20529}\\\phantom{225)}\underline{\phantom{}2025\phantom{9}}\\\phantom{225)99}279\\\phantom{225)}\underline{\phantom{99}225\phantom{}}\\\phantom{225)999}54\\\end{array}$$

Since 54 is less than 225, stop the division. The reminder is 54. The topmost line 00091 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 91.

$$\text{Quotient: }91 \text{Reminder: }54$$

Factor

$$\frac{2281}{5 ^ {2}} = 91\frac{6}{25} = 91.24$$