Solve 11999/333

$$\frac{ 11999 }{ 333 }$$

Evaluate

$$\frac{11999}{333}\approx 36.033033033$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 11999

$$\begin{array}{l}\phantom{333)}\phantom{1}\\333\overline{)11999}\\\end{array}$$

Since 1 is less than 333, use the next digit 1 from dividend 11999 and add 0 to the quotient

$$\begin{array}{l}\phantom{333)}0\phantom{2}\\333\overline{)11999}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 11999

$$\begin{array}{l}\phantom{333)}0\phantom{3}\\333\overline{)11999}\\\end{array}$$

Since 11 is less than 333, use the next digit 9 from dividend 11999 and add 0 to the quotient

$$\begin{array}{l}\phantom{333)}00\phantom{4}\\333\overline{)11999}\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 11999

$$\begin{array}{l}\phantom{333)}00\phantom{5}\\333\overline{)11999}\\\end{array}$$

Since 119 is less than 333, use the next digit 9 from dividend 11999 and add 0 to the quotient

$$\begin{array}{l}\phantom{333)}000\phantom{6}\\333\overline{)11999}\\\end{array}$$

Use the 4^{th} digit 9 from dividend 11999

$$\begin{array}{l}\phantom{333)}000\phantom{7}\\333\overline{)11999}\\\end{array}$$

Find closest multiple of 333 to 1199. We see that 3 \times 333 = 999 is the nearest. Now subtract 999 from 1199 to get reminder 200. Add 3 to quotient.

$$\begin{array}{l}\phantom{333)}0003\phantom{8}\\333\overline{)11999}\\\phantom{333)}\underline{\phantom{9}999\phantom{9}}\\\phantom{333)9}200\\\end{array}$$

Use the 5^{th} digit 9 from dividend 11999

$$\begin{array}{l}\phantom{333)}0003\phantom{9}\\333\overline{)11999}\\\phantom{333)}\underline{\phantom{9}999\phantom{9}}\\\phantom{333)9}2009\\\end{array}$$

Find closest multiple of 333 to 2009. We see that 6 \times 333 = 1998 is the nearest. Now subtract 1998 from 2009 to get reminder 11. Add 6 to quotient.

$$\begin{array}{l}\phantom{333)}00036\phantom{10}\\333\overline{)11999}\\\phantom{333)}\underline{\phantom{9}999\phantom{9}}\\\phantom{333)9}2009\\\phantom{333)}\underline{\phantom{9}1998\phantom{}}\\\phantom{333)999}11\\\end{array}$$

Since 11 is less than 333, stop the division. The reminder is 11. The topmost line 00036 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 36.

$$\text{Quotient: }36 \text{Reminder: }11$$

Factor

$$\frac{13 ^ {2} \cdot 71}{3 ^ {2} \cdot 37} = 36\frac{11}{333} = 36.033033033033036$$