Solve 9900div319

$$9900 \div 319$$

Evaluate

$$\frac{900}{29}\approx 31.034482759$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 9900

$$\begin{array}{l}\phantom{319)}\phantom{1}\\319\overline{)9900}\\\end{array}$$

Since 9 is less than 319, use the next digit 9 from dividend 9900 and add 0 to the quotient

$$\begin{array}{l}\phantom{319)}0\phantom{2}\\319\overline{)9900}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 9900

$$\begin{array}{l}\phantom{319)}0\phantom{3}\\319\overline{)9900}\\\end{array}$$

Since 99 is less than 319, use the next digit 0 from dividend 9900 and add 0 to the quotient

$$\begin{array}{l}\phantom{319)}00\phantom{4}\\319\overline{)9900}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 9900

$$\begin{array}{l}\phantom{319)}00\phantom{5}\\319\overline{)9900}\\\end{array}$$

Find closest multiple of 319 to 990. We see that 3 \times 319 = 957 is the nearest. Now subtract 957 from 990 to get reminder 33. Add 3 to quotient.

$$\begin{array}{l}\phantom{319)}003\phantom{6}\\319\overline{)9900}\\\phantom{319)}\underline{\phantom{}957\phantom{9}}\\\phantom{319)9}33\\\end{array}$$

Use the 4^{th} digit 0 from dividend 9900

$$\begin{array}{l}\phantom{319)}003\phantom{7}\\319\overline{)9900}\\\phantom{319)}\underline{\phantom{}957\phantom{9}}\\\phantom{319)9}330\\\end{array}$$

Find closest multiple of 319 to 330. We see that 1 \times 319 = 319 is the nearest. Now subtract 319 from 330 to get reminder 11. Add 1 to quotient.

$$\begin{array}{l}\phantom{319)}0031\phantom{8}\\319\overline{)9900}\\\phantom{319)}\underline{\phantom{}957\phantom{9}}\\\phantom{319)9}330\\\phantom{319)}\underline{\phantom{9}319\phantom{}}\\\phantom{319)99}11\\\end{array}$$

Since 11 is less than 319, stop the division. The reminder is 11. The topmost line 0031 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 31.

$$\text{Quotient: }31 \text{Reminder: }11$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {2} \cdot 5 ^ {2}}{29} = 31\frac{1}{29} = 31.03448275862069$$