Solve 25000div4500

$$25000 \div 4500$$

Evaluate

$$\frac{50}{9}\approx 5.555555556$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 25000

$$\begin{array}{l}\phantom{4500)}\phantom{1}\\4500\overline{)25000}\\\end{array}$$

Since 2 is less than 4500, use the next digit 5 from dividend 25000 and add 0 to the quotient

$$\begin{array}{l}\phantom{4500)}0\phantom{2}\\4500\overline{)25000}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 25000

$$\begin{array}{l}\phantom{4500)}0\phantom{3}\\4500\overline{)25000}\\\end{array}$$

Since 25 is less than 4500, use the next digit 0 from dividend 25000 and add 0 to the quotient

$$\begin{array}{l}\phantom{4500)}00\phantom{4}\\4500\overline{)25000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 25000

$$\begin{array}{l}\phantom{4500)}00\phantom{5}\\4500\overline{)25000}\\\end{array}$$

Since 250 is less than 4500, use the next digit 0 from dividend 25000 and add 0 to the quotient

$$\begin{array}{l}\phantom{4500)}000\phantom{6}\\4500\overline{)25000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 25000

$$\begin{array}{l}\phantom{4500)}000\phantom{7}\\4500\overline{)25000}\\\end{array}$$

Since 2500 is less than 4500, use the next digit 0 from dividend 25000 and add 0 to the quotient

$$\begin{array}{l}\phantom{4500)}0000\phantom{8}\\4500\overline{)25000}\\\end{array}$$

Use the 5^{th} digit 0 from dividend 25000

$$\begin{array}{l}\phantom{4500)}0000\phantom{9}\\4500\overline{)25000}\\\end{array}$$

Find closest multiple of 4500 to 25000. We see that 5 \times 4500 = 22500 is the nearest. Now subtract 22500 from 25000 to get reminder 2500. Add 5 to quotient.

$$\begin{array}{l}\phantom{4500)}00005\phantom{10}\\4500\overline{)25000}\\\phantom{4500)}\underline{\phantom{}22500\phantom{}}\\\phantom{4500)9}2500\\\end{array}$$

Since 2500 is less than 4500, stop the division. The reminder is 2500. The topmost line 00005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.

$$\text{Quotient: }5 \text{Reminder: }2500$$

Factor

$$\frac{2 \cdot 5 ^ {2}}{3 ^ {2}} = 5\frac{5}{9} = 5.555555555555555$$