333113 \%
Evaluate
\frac{333113}{100}=3331.13
Factor
\frac{11 ^ {2} \cdot 2753}{2 ^ {2} \cdot 5 ^ {2}} = 3331\frac{13}{100} = 3331.13
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\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)333113}\\\end{array}
Use the 1^{st} digit 3 from dividend 333113
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)333113}\\\end{array}
Since 3 is less than 100, use the next digit 3 from dividend 333113 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)333113}\\\end{array}
Use the 2^{nd} digit 3 from dividend 333113
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)333113}\\\end{array}
Since 33 is less than 100, use the next digit 3 from dividend 333113 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)333113}\\\end{array}
Use the 3^{rd} digit 3 from dividend 333113
\begin{array}{l}\phantom{100)}003\phantom{6}\\100\overline{)333113}\\\phantom{100)}\underline{\phantom{}300\phantom{999}}\\\phantom{100)9}33\\\end{array}
Find closest multiple of 100 to 333. We see that 3 \times 100 = 300 is the nearest. Now subtract 300 from 333 to get reminder 33. Add 3 to quotient.
\begin{array}{l}\phantom{100)}003\phantom{7}\\100\overline{)333113}\\\phantom{100)}\underline{\phantom{}300\phantom{999}}\\\phantom{100)9}331\\\end{array}
Use the 4^{th} digit 1 from dividend 333113
\begin{array}{l}\phantom{100)}0033\phantom{8}\\100\overline{)333113}\\\phantom{100)}\underline{\phantom{}300\phantom{999}}\\\phantom{100)9}331\\\phantom{100)}\underline{\phantom{9}300\phantom{99}}\\\phantom{100)99}31\\\end{array}
Find closest multiple of 100 to 331. We see that 3 \times 100 = 300 is the nearest. Now subtract 300 from 331 to get reminder 31. Add 3 to quotient.
\begin{array}{l}\phantom{100)}0033\phantom{9}\\100\overline{)333113}\\\phantom{100)}\underline{\phantom{}300\phantom{999}}\\\phantom{100)9}331\\\phantom{100)}\underline{\phantom{9}300\phantom{99}}\\\phantom{100)99}311\\\end{array}
Use the 5^{th} digit 1 from dividend 333113
\begin{array}{l}\phantom{100)}00333\phantom{10}\\100\overline{)333113}\\\phantom{100)}\underline{\phantom{}300\phantom{999}}\\\phantom{100)9}331\\\phantom{100)}\underline{\phantom{9}300\phantom{99}}\\\phantom{100)99}311\\\phantom{100)}\underline{\phantom{99}300\phantom{9}}\\\phantom{100)999}11\\\end{array}
Find closest multiple of 100 to 311. We see that 3 \times 100 = 300 is the nearest. Now subtract 300 from 311 to get reminder 11. Add 3 to quotient.
\begin{array}{l}\phantom{100)}00333\phantom{11}\\100\overline{)333113}\\\phantom{100)}\underline{\phantom{}300\phantom{999}}\\\phantom{100)9}331\\\phantom{100)}\underline{\phantom{9}300\phantom{99}}\\\phantom{100)99}311\\\phantom{100)}\underline{\phantom{99}300\phantom{9}}\\\phantom{100)999}113\\\end{array}
Use the 6^{th} digit 3 from dividend 333113
\begin{array}{l}\phantom{100)}003331\phantom{12}\\100\overline{)333113}\\\phantom{100)}\underline{\phantom{}300\phantom{999}}\\\phantom{100)9}331\\\phantom{100)}\underline{\phantom{9}300\phantom{99}}\\\phantom{100)99}311\\\phantom{100)}\underline{\phantom{99}300\phantom{9}}\\\phantom{100)999}113\\\phantom{100)}\underline{\phantom{999}100\phantom{}}\\\phantom{100)9999}13\\\end{array}
Find closest multiple of 100 to 113. We see that 1 \times 100 = 100 is the nearest. Now subtract 100 from 113 to get reminder 13. Add 1 to quotient.
\text{Quotient: }3331 \text{Reminder: }13
Since 13 is less than 100, stop the division. The reminder is 13. The topmost line 003331 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3331.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}