Solve 31212/1000

$$\frac{ 31212 }{ 1000 }$$

Evaluate

$$\frac{7803}{250}=31.212$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 31212

$$\begin{array}{l}\phantom{1000)}\phantom{1}\\1000\overline{)31212}\\\end{array}$$

Since 3 is less than 1000, use the next digit 1 from dividend 31212 and add 0 to the quotient

$$\begin{array}{l}\phantom{1000)}0\phantom{2}\\1000\overline{)31212}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 31212

$$\begin{array}{l}\phantom{1000)}0\phantom{3}\\1000\overline{)31212}\\\end{array}$$

Since 31 is less than 1000, use the next digit 2 from dividend 31212 and add 0 to the quotient

$$\begin{array}{l}\phantom{1000)}00\phantom{4}\\1000\overline{)31212}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 31212

$$\begin{array}{l}\phantom{1000)}00\phantom{5}\\1000\overline{)31212}\\\end{array}$$

Since 312 is less than 1000, use the next digit 1 from dividend 31212 and add 0 to the quotient

$$\begin{array}{l}\phantom{1000)}000\phantom{6}\\1000\overline{)31212}\\\end{array}$$

Use the 4^{th} digit 1 from dividend 31212

$$\begin{array}{l}\phantom{1000)}000\phantom{7}\\1000\overline{)31212}\\\end{array}$$

Find closest multiple of 1000 to 3121. We see that 3 \times 1000 = 3000 is the nearest. Now subtract 3000 from 3121 to get reminder 121. Add 3 to quotient.

$$\begin{array}{l}\phantom{1000)}0003\phantom{8}\\1000\overline{)31212}\\\phantom{1000)}\underline{\phantom{}3000\phantom{9}}\\\phantom{1000)9}121\\\end{array}$$

Use the 5^{th} digit 2 from dividend 31212

$$\begin{array}{l}\phantom{1000)}0003\phantom{9}\\1000\overline{)31212}\\\phantom{1000)}\underline{\phantom{}3000\phantom{9}}\\\phantom{1000)9}1212\\\end{array}$$

Find closest multiple of 1000 to 1212. We see that 1 \times 1000 = 1000 is the nearest. Now subtract 1000 from 1212 to get reminder 212. Add 1 to quotient.

$$\begin{array}{l}\phantom{1000)}00031\phantom{10}\\1000\overline{)31212}\\\phantom{1000)}\underline{\phantom{}3000\phantom{9}}\\\phantom{1000)9}1212\\\phantom{1000)}\underline{\phantom{9}1000\phantom{}}\\\phantom{1000)99}212\\\end{array}$$

Since 212 is less than 1000, stop the division. The reminder is 212. The topmost line 00031 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 31.

$$\text{Quotient: }31 \text{Reminder: }212$$

Factor

$$\frac{3 ^ {3} \cdot 17 ^ {2}}{2 \cdot 5 ^ {3}} = 31\frac{53}{250} = 31.212$$