Evaluate
\frac{79276}{11}\approx 7206.909090909
Factor
\frac{2 ^ {2} \cdot 19819}{11} = 7206\frac{10}{11} = 7206.909090909091
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\begin{array}{l}\phantom{22)}\phantom{1}\\22\overline{)158552}\\\end{array}
Use the 1^{st} digit 1 from dividend 158552
\begin{array}{l}\phantom{22)}0\phantom{2}\\22\overline{)158552}\\\end{array}
Since 1 is less than 22, use the next digit 5 from dividend 158552 and add 0 to the quotient
\begin{array}{l}\phantom{22)}0\phantom{3}\\22\overline{)158552}\\\end{array}
Use the 2^{nd} digit 5 from dividend 158552
\begin{array}{l}\phantom{22)}00\phantom{4}\\22\overline{)158552}\\\end{array}
Since 15 is less than 22, use the next digit 8 from dividend 158552 and add 0 to the quotient
\begin{array}{l}\phantom{22)}00\phantom{5}\\22\overline{)158552}\\\end{array}
Use the 3^{rd} digit 8 from dividend 158552
\begin{array}{l}\phantom{22)}007\phantom{6}\\22\overline{)158552}\\\phantom{22)}\underline{\phantom{}154\phantom{999}}\\\phantom{22)99}4\\\end{array}
Find closest multiple of 22 to 158. We see that 7 \times 22 = 154 is the nearest. Now subtract 154 from 158 to get reminder 4. Add 7 to quotient.
\begin{array}{l}\phantom{22)}007\phantom{7}\\22\overline{)158552}\\\phantom{22)}\underline{\phantom{}154\phantom{999}}\\\phantom{22)99}45\\\end{array}
Use the 4^{th} digit 5 from dividend 158552
\begin{array}{l}\phantom{22)}0072\phantom{8}\\22\overline{)158552}\\\phantom{22)}\underline{\phantom{}154\phantom{999}}\\\phantom{22)99}45\\\phantom{22)}\underline{\phantom{99}44\phantom{99}}\\\phantom{22)999}1\\\end{array}
Find closest multiple of 22 to 45. We see that 2 \times 22 = 44 is the nearest. Now subtract 44 from 45 to get reminder 1. Add 2 to quotient.
\begin{array}{l}\phantom{22)}0072\phantom{9}\\22\overline{)158552}\\\phantom{22)}\underline{\phantom{}154\phantom{999}}\\\phantom{22)99}45\\\phantom{22)}\underline{\phantom{99}44\phantom{99}}\\\phantom{22)999}15\\\end{array}
Use the 5^{th} digit 5 from dividend 158552
\begin{array}{l}\phantom{22)}00720\phantom{10}\\22\overline{)158552}\\\phantom{22)}\underline{\phantom{}154\phantom{999}}\\\phantom{22)99}45\\\phantom{22)}\underline{\phantom{99}44\phantom{99}}\\\phantom{22)999}15\\\end{array}
Since 15 is less than 22, use the next digit 2 from dividend 158552 and add 0 to the quotient
\begin{array}{l}\phantom{22)}00720\phantom{11}\\22\overline{)158552}\\\phantom{22)}\underline{\phantom{}154\phantom{999}}\\\phantom{22)99}45\\\phantom{22)}\underline{\phantom{99}44\phantom{99}}\\\phantom{22)999}152\\\end{array}
Use the 6^{th} digit 2 from dividend 158552
\begin{array}{l}\phantom{22)}007206\phantom{12}\\22\overline{)158552}\\\phantom{22)}\underline{\phantom{}154\phantom{999}}\\\phantom{22)99}45\\\phantom{22)}\underline{\phantom{99}44\phantom{99}}\\\phantom{22)999}152\\\phantom{22)}\underline{\phantom{999}132\phantom{}}\\\phantom{22)9999}20\\\end{array}
Find closest multiple of 22 to 152. We see that 6 \times 22 = 132 is the nearest. Now subtract 132 from 152 to get reminder 20. Add 6 to quotient.
\text{Quotient: }7206 \text{Reminder: }20
Since 20 is less than 22, stop the division. The reminder is 20. The topmost line 007206 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7206.
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}