Solve 22562/100

$$\frac { 22562 } { 100 }$$

Evaluate

$$\frac{11281}{50}=225.62$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 22562

$$\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)22562}\\\end{array}$$

Since 2 is less than 100, use the next digit 2 from dividend 22562 and add 0 to the quotient

$$\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)22562}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 22562

$$\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)22562}\\\end{array}$$

Since 22 is less than 100, use the next digit 5 from dividend 22562 and add 0 to the quotient

$$\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)22562}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 22562

$$\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)22562}\\\end{array}$$

Find closest multiple of 100 to 225. We see that 2 \times 100 = 200 is the nearest. Now subtract 200 from 225 to get reminder 25. Add 2 to quotient.

$$\begin{array}{l}\phantom{100)}002\phantom{6}\\100\overline{)22562}\\\phantom{100)}\underline{\phantom{}200\phantom{99}}\\\phantom{100)9}25\\\end{array}$$

Use the 4^{th} digit 6 from dividend 22562

$$\begin{array}{l}\phantom{100)}002\phantom{7}\\100\overline{)22562}\\\phantom{100)}\underline{\phantom{}200\phantom{99}}\\\phantom{100)9}256\\\end{array}$$

Find closest multiple of 100 to 256. We see that 2 \times 100 = 200 is the nearest. Now subtract 200 from 256 to get reminder 56. Add 2 to quotient.

$$\begin{array}{l}\phantom{100)}0022\phantom{8}\\100\overline{)22562}\\\phantom{100)}\underline{\phantom{}200\phantom{99}}\\\phantom{100)9}256\\\phantom{100)}\underline{\phantom{9}200\phantom{9}}\\\phantom{100)99}56\\\end{array}$$

Use the 5^{th} digit 2 from dividend 22562

$$\begin{array}{l}\phantom{100)}0022\phantom{9}\\100\overline{)22562}\\\phantom{100)}\underline{\phantom{}200\phantom{99}}\\\phantom{100)9}256\\\phantom{100)}\underline{\phantom{9}200\phantom{9}}\\\phantom{100)99}562\\\end{array}$$

Find closest multiple of 100 to 562. We see that 5 \times 100 = 500 is the nearest. Now subtract 500 from 562 to get reminder 62. Add 5 to quotient.

$$\begin{array}{l}\phantom{100)}00225\phantom{10}\\100\overline{)22562}\\\phantom{100)}\underline{\phantom{}200\phantom{99}}\\\phantom{100)9}256\\\phantom{100)}\underline{\phantom{9}200\phantom{9}}\\\phantom{100)99}562\\\phantom{100)}\underline{\phantom{99}500\phantom{}}\\\phantom{100)999}62\\\end{array}$$

Since 62 is less than 100, stop the division. The reminder is 62. The topmost line 00225 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 225.

$$\text{Quotient: }225 \text{Reminder: }62$$

Factor

$$\frac{29 \cdot 389}{2 \cdot 5 ^ {2}} = 225\frac{31}{50} = 225.62$$