Solve 250000:300

$$250000 : 300$$

Evaluate

$$\frac{2500}{3}\approx 833.333333333$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 250000

$$\begin{array}{l}\phantom{300)}\phantom{1}\\300\overline{)250000}\\\end{array}$$

Since 2 is less than 300, use the next digit 5 from dividend 250000 and add 0 to the quotient

$$\begin{array}{l}\phantom{300)}0\phantom{2}\\300\overline{)250000}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 250000

$$\begin{array}{l}\phantom{300)}0\phantom{3}\\300\overline{)250000}\\\end{array}$$

Since 25 is less than 300, use the next digit 0 from dividend 250000 and add 0 to the quotient

$$\begin{array}{l}\phantom{300)}00\phantom{4}\\300\overline{)250000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 250000

$$\begin{array}{l}\phantom{300)}00\phantom{5}\\300\overline{)250000}\\\end{array}$$

Since 250 is less than 300, use the next digit 0 from dividend 250000 and add 0 to the quotient

$$\begin{array}{l}\phantom{300)}000\phantom{6}\\300\overline{)250000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 250000

$$\begin{array}{l}\phantom{300)}000\phantom{7}\\300\overline{)250000}\\\end{array}$$

Find closest multiple of 300 to 2500. We see that 8 \times 300 = 2400 is the nearest. Now subtract 2400 from 2500 to get reminder 100. Add 8 to quotient.

$$\begin{array}{l}\phantom{300)}0008\phantom{8}\\300\overline{)250000}\\\phantom{300)}\underline{\phantom{}2400\phantom{99}}\\\phantom{300)9}100\\\end{array}$$

Use the 5^{th} digit 0 from dividend 250000

$$\begin{array}{l}\phantom{300)}0008\phantom{9}\\300\overline{)250000}\\\phantom{300)}\underline{\phantom{}2400\phantom{99}}\\\phantom{300)9}1000\\\end{array}$$

Find closest multiple of 300 to 1000. We see that 3 \times 300 = 900 is the nearest. Now subtract 900 from 1000 to get reminder 100. Add 3 to quotient.

$$\begin{array}{l}\phantom{300)}00083\phantom{10}\\300\overline{)250000}\\\phantom{300)}\underline{\phantom{}2400\phantom{99}}\\\phantom{300)9}1000\\\phantom{300)}\underline{\phantom{99}900\phantom{9}}\\\phantom{300)99}100\\\end{array}$$

Use the 6^{th} digit 0 from dividend 250000

$$\begin{array}{l}\phantom{300)}00083\phantom{11}\\300\overline{)250000}\\\phantom{300)}\underline{\phantom{}2400\phantom{99}}\\\phantom{300)9}1000\\\phantom{300)}\underline{\phantom{99}900\phantom{9}}\\\phantom{300)99}1000\\\end{array}$$

Find closest multiple of 300 to 1000. We see that 3 \times 300 = 900 is the nearest. Now subtract 900 from 1000 to get reminder 100. Add 3 to quotient.

$$\begin{array}{l}\phantom{300)}000833\phantom{12}\\300\overline{)250000}\\\phantom{300)}\underline{\phantom{}2400\phantom{99}}\\\phantom{300)9}1000\\\phantom{300)}\underline{\phantom{99}900\phantom{9}}\\\phantom{300)99}1000\\\phantom{300)}\underline{\phantom{999}900\phantom{}}\\\phantom{300)999}100\\\end{array}$$

Since 100 is less than 300, stop the division. The reminder is 100. The topmost line 000833 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 833.

$$\text{Quotient: }833 \text{Reminder: }100$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {4}}{3} = 833\frac{1}{3} = 833.3333333333334$$