Solve 12500/30

$$\frac { 12500 } { 30 }$$

Evaluate

$$\frac{1250}{3}\approx 416.666666667$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 12500

$$\begin{array}{l}\phantom{30)}\phantom{1}\\30\overline{)12500}\\\end{array}$$

Since 1 is less than 30, use the next digit 2 from dividend 12500 and add 0 to the quotient

$$\begin{array}{l}\phantom{30)}0\phantom{2}\\30\overline{)12500}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 12500

$$\begin{array}{l}\phantom{30)}0\phantom{3}\\30\overline{)12500}\\\end{array}$$

Since 12 is less than 30, use the next digit 5 from dividend 12500 and add 0 to the quotient

$$\begin{array}{l}\phantom{30)}00\phantom{4}\\30\overline{)12500}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 12500

$$\begin{array}{l}\phantom{30)}00\phantom{5}\\30\overline{)12500}\\\end{array}$$

Find closest multiple of 30 to 125. We see that 4 \times 30 = 120 is the nearest. Now subtract 120 from 125 to get reminder 5. Add 4 to quotient.

$$\begin{array}{l}\phantom{30)}004\phantom{6}\\30\overline{)12500}\\\phantom{30)}\underline{\phantom{}120\phantom{99}}\\\phantom{30)99}5\\\end{array}$$

Use the 4^{th} digit 0 from dividend 12500

$$\begin{array}{l}\phantom{30)}004\phantom{7}\\30\overline{)12500}\\\phantom{30)}\underline{\phantom{}120\phantom{99}}\\\phantom{30)99}50\\\end{array}$$

Find closest multiple of 30 to 50. We see that 1 \times 30 = 30 is the nearest. Now subtract 30 from 50 to get reminder 20. Add 1 to quotient.

$$\begin{array}{l}\phantom{30)}0041\phantom{8}\\30\overline{)12500}\\\phantom{30)}\underline{\phantom{}120\phantom{99}}\\\phantom{30)99}50\\\phantom{30)}\underline{\phantom{99}30\phantom{9}}\\\phantom{30)99}20\\\end{array}$$

Use the 5^{th} digit 0 from dividend 12500

$$\begin{array}{l}\phantom{30)}0041\phantom{9}\\30\overline{)12500}\\\phantom{30)}\underline{\phantom{}120\phantom{99}}\\\phantom{30)99}50\\\phantom{30)}\underline{\phantom{99}30\phantom{9}}\\\phantom{30)99}200\\\end{array}$$

Find closest multiple of 30 to 200. We see that 6 \times 30 = 180 is the nearest. Now subtract 180 from 200 to get reminder 20. Add 6 to quotient.

$$\begin{array}{l}\phantom{30)}00416\phantom{10}\\30\overline{)12500}\\\phantom{30)}\underline{\phantom{}120\phantom{99}}\\\phantom{30)99}50\\\phantom{30)}\underline{\phantom{99}30\phantom{9}}\\\phantom{30)99}200\\\phantom{30)}\underline{\phantom{99}180\phantom{}}\\\phantom{30)999}20\\\end{array}$$

Since 20 is less than 30, stop the division. The reminder is 20. The topmost line 00416 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 416.

$$\text{Quotient: }416 \text{Reminder: }20$$

Factor

$$\frac{2 \cdot 5 ^ {4}}{3} = 416\frac{2}{3} = 416.6666666666667$$