Evaluate
\frac{47556}{181}\approx 262.740331492
Factor
\frac{2 ^ {2} \cdot 3 ^ {2} \cdot 1321}{181} = 262\frac{134}{181} = 262.7403314917127
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\begin{array}{l}\phantom{181)}\phantom{1}\\181\overline{)47556}\\\end{array}
Use the 1^{st} digit 4 from dividend 47556
\begin{array}{l}\phantom{181)}0\phantom{2}\\181\overline{)47556}\\\end{array}
Since 4 is less than 181, use the next digit 7 from dividend 47556 and add 0 to the quotient
\begin{array}{l}\phantom{181)}0\phantom{3}\\181\overline{)47556}\\\end{array}
Use the 2^{nd} digit 7 from dividend 47556
\begin{array}{l}\phantom{181)}00\phantom{4}\\181\overline{)47556}\\\end{array}
Since 47 is less than 181, use the next digit 5 from dividend 47556 and add 0 to the quotient
\begin{array}{l}\phantom{181)}00\phantom{5}\\181\overline{)47556}\\\end{array}
Use the 3^{rd} digit 5 from dividend 47556
\begin{array}{l}\phantom{181)}002\phantom{6}\\181\overline{)47556}\\\phantom{181)}\underline{\phantom{}362\phantom{99}}\\\phantom{181)}113\\\end{array}
Find closest multiple of 181 to 475. We see that 2 \times 181 = 362 is the nearest. Now subtract 362 from 475 to get reminder 113. Add 2 to quotient.
\begin{array}{l}\phantom{181)}002\phantom{7}\\181\overline{)47556}\\\phantom{181)}\underline{\phantom{}362\phantom{99}}\\\phantom{181)}1135\\\end{array}
Use the 4^{th} digit 5 from dividend 47556
\begin{array}{l}\phantom{181)}0026\phantom{8}\\181\overline{)47556}\\\phantom{181)}\underline{\phantom{}362\phantom{99}}\\\phantom{181)}1135\\\phantom{181)}\underline{\phantom{}1086\phantom{9}}\\\phantom{181)99}49\\\end{array}
Find closest multiple of 181 to 1135. We see that 6 \times 181 = 1086 is the nearest. Now subtract 1086 from 1135 to get reminder 49. Add 6 to quotient.
\begin{array}{l}\phantom{181)}0026\phantom{9}\\181\overline{)47556}\\\phantom{181)}\underline{\phantom{}362\phantom{99}}\\\phantom{181)}1135\\\phantom{181)}\underline{\phantom{}1086\phantom{9}}\\\phantom{181)99}496\\\end{array}
Use the 5^{th} digit 6 from dividend 47556
\begin{array}{l}\phantom{181)}00262\phantom{10}\\181\overline{)47556}\\\phantom{181)}\underline{\phantom{}362\phantom{99}}\\\phantom{181)}1135\\\phantom{181)}\underline{\phantom{}1086\phantom{9}}\\\phantom{181)99}496\\\phantom{181)}\underline{\phantom{99}362\phantom{}}\\\phantom{181)99}134\\\end{array}
Find closest multiple of 181 to 496. We see that 2 \times 181 = 362 is the nearest. Now subtract 362 from 496 to get reminder 134. Add 2 to quotient.
\text{Quotient: }262 \text{Reminder: }134
Since 134 is less than 181, stop the division. The reminder is 134. The topmost line 00262 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 262.
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}