Solve 25000/45

$$\frac{ 25000 }{ 45 }$$

Evaluate

$$\frac{5000}{9}\approx 555.555555556$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{45)}\phantom{1}\\45\overline{)25000}\\\end{array}$$

Since 2 is less than 45, use the next digit 5 from dividend 25000 and add 0 to the quotient

$$\begin{array}{l}\phantom{45)}0\phantom{2}\\45\overline{)25000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{45)}0\phantom{3}\\45\overline{)25000}\\\end{array}$$

Since 25 is less than 45, use the next digit 0 from dividend 25000 and add 0 to the quotient

$$\begin{array}{l}\phantom{45)}00\phantom{4}\\45\overline{)25000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{45)}00\phantom{5}\\45\overline{)25000}\\\end{array}$$

Find closest multiple of 45 to 250. We see that 5 \times 45 = 225 is the nearest. Now subtract 225 from 250 to get reminder 25. Add 5 to quotient.

$$\begin{array}{l}\phantom{45)}005\phantom{6}\\45\overline{)25000}\\\phantom{45)}\underline{\phantom{}225\phantom{99}}\\\phantom{45)9}25\\\end{array}$$

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

$$\begin{array}{l}\phantom{45)}005\phantom{7}\\45\overline{)25000}\\\phantom{45)}\underline{\phantom{}225\phantom{99}}\\\phantom{45)9}250\\\end{array}$$

Find closest multiple of 45 to 250. We see that 5 \times 45 = 225 is the nearest. Now subtract 225 from 250 to get reminder 25. Add 5 to quotient.

$$\begin{array}{l}\phantom{45)}0055\phantom{8}\\45\overline{)25000}\\\phantom{45)}\underline{\phantom{}225\phantom{99}}\\\phantom{45)9}250\\\phantom{45)}\underline{\phantom{9}225\phantom{9}}\\\phantom{45)99}25\\\end{array}$$

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

$$\begin{array}{l}\phantom{45)}0055\phantom{9}\\45\overline{)25000}\\\phantom{45)}\underline{\phantom{}225\phantom{99}}\\\phantom{45)9}250\\\phantom{45)}\underline{\phantom{9}225\phantom{9}}\\\phantom{45)99}250\\\end{array}$$

Find closest multiple of 45 to 250. We see that 5 \times 45 = 225 is the nearest. Now subtract 225 from 250 to get reminder 25. Add 5 to quotient.

$$\begin{array}{l}\phantom{45)}00555\phantom{10}\\45\overline{)25000}\\\phantom{45)}\underline{\phantom{}225\phantom{99}}\\\phantom{45)9}250\\\phantom{45)}\underline{\phantom{9}225\phantom{9}}\\\phantom{45)99}250\\\phantom{45)}\underline{\phantom{99}225\phantom{}}\\\phantom{45)999}25\\\end{array}$$

Since 25 is less than 45, stop the division. The reminder is 25. The topmost line 00555 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 555.

$$\text{Quotient: }555 \text{Reminder: }25$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {4}}{3 ^ {2}} = 555\frac{5}{9} = 555.5555555555555$$