Solve 1000/450

$$\frac{ 1000 }{ 450 }$$

Evaluate

$$\frac{20}{9}\approx 2.222222222$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1000

$$\begin{array}{l}\phantom{450)}\phantom{1}\\450\overline{)1000}\\\end{array}$$

Since 1 is less than 450, use the next digit 0 from dividend 1000 and add 0 to the quotient

$$\begin{array}{l}\phantom{450)}0\phantom{2}\\450\overline{)1000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 1000

$$\begin{array}{l}\phantom{450)}0\phantom{3}\\450\overline{)1000}\\\end{array}$$

Since 10 is less than 450, use the next digit 0 from dividend 1000 and add 0 to the quotient

$$\begin{array}{l}\phantom{450)}00\phantom{4}\\450\overline{)1000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 1000

$$\begin{array}{l}\phantom{450)}00\phantom{5}\\450\overline{)1000}\\\end{array}$$

Since 100 is less than 450, use the next digit 0 from dividend 1000 and add 0 to the quotient

$$\begin{array}{l}\phantom{450)}000\phantom{6}\\450\overline{)1000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 1000

$$\begin{array}{l}\phantom{450)}000\phantom{7}\\450\overline{)1000}\\\end{array}$$

Find closest multiple of 450 to 1000. We see that 2 \times 450 = 900 is the nearest. Now subtract 900 from 1000 to get reminder 100. Add 2 to quotient.

$$\begin{array}{l}\phantom{450)}0002\phantom{8}\\450\overline{)1000}\\\phantom{450)}\underline{\phantom{9}900\phantom{}}\\\phantom{450)9}100\\\end{array}$$

Since 100 is less than 450, stop the division. The reminder is 100. The topmost line 0002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }100$$

Factor

$$\frac{2 ^ {2} \cdot 5}{3 ^ {2}} = 2\frac{2}{9} = 2.2222222222222223$$