Evaluate
4287
Factor
3\times 1429
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\begin{array}{l}\phantom{55)}\phantom{1}\\55\overline{)235785}\\\end{array}
Use the 1^{st} digit 2 from dividend 235785
\begin{array}{l}\phantom{55)}0\phantom{2}\\55\overline{)235785}\\\end{array}
Since 2 is less than 55, use the next digit 3 from dividend 235785 and add 0 to the quotient
\begin{array}{l}\phantom{55)}0\phantom{3}\\55\overline{)235785}\\\end{array}
Use the 2^{nd} digit 3 from dividend 235785
\begin{array}{l}\phantom{55)}00\phantom{4}\\55\overline{)235785}\\\end{array}
Since 23 is less than 55, use the next digit 5 from dividend 235785 and add 0 to the quotient
\begin{array}{l}\phantom{55)}00\phantom{5}\\55\overline{)235785}\\\end{array}
Use the 3^{rd} digit 5 from dividend 235785
\begin{array}{l}\phantom{55)}004\phantom{6}\\55\overline{)235785}\\\phantom{55)}\underline{\phantom{}220\phantom{999}}\\\phantom{55)9}15\\\end{array}
Find closest multiple of 55 to 235. We see that 4 \times 55 = 220 is the nearest. Now subtract 220 from 235 to get reminder 15. Add 4 to quotient.
\begin{array}{l}\phantom{55)}004\phantom{7}\\55\overline{)235785}\\\phantom{55)}\underline{\phantom{}220\phantom{999}}\\\phantom{55)9}157\\\end{array}
Use the 4^{th} digit 7 from dividend 235785
\begin{array}{l}\phantom{55)}0042\phantom{8}\\55\overline{)235785}\\\phantom{55)}\underline{\phantom{}220\phantom{999}}\\\phantom{55)9}157\\\phantom{55)}\underline{\phantom{9}110\phantom{99}}\\\phantom{55)99}47\\\end{array}
Find closest multiple of 55 to 157. We see that 2 \times 55 = 110 is the nearest. Now subtract 110 from 157 to get reminder 47. Add 2 to quotient.
\begin{array}{l}\phantom{55)}0042\phantom{9}\\55\overline{)235785}\\\phantom{55)}\underline{\phantom{}220\phantom{999}}\\\phantom{55)9}157\\\phantom{55)}\underline{\phantom{9}110\phantom{99}}\\\phantom{55)99}478\\\end{array}
Use the 5^{th} digit 8 from dividend 235785
\begin{array}{l}\phantom{55)}00428\phantom{10}\\55\overline{)235785}\\\phantom{55)}\underline{\phantom{}220\phantom{999}}\\\phantom{55)9}157\\\phantom{55)}\underline{\phantom{9}110\phantom{99}}\\\phantom{55)99}478\\\phantom{55)}\underline{\phantom{99}440\phantom{9}}\\\phantom{55)999}38\\\end{array}
Find closest multiple of 55 to 478. We see that 8 \times 55 = 440 is the nearest. Now subtract 440 from 478 to get reminder 38. Add 8 to quotient.
\begin{array}{l}\phantom{55)}00428\phantom{11}\\55\overline{)235785}\\\phantom{55)}\underline{\phantom{}220\phantom{999}}\\\phantom{55)9}157\\\phantom{55)}\underline{\phantom{9}110\phantom{99}}\\\phantom{55)99}478\\\phantom{55)}\underline{\phantom{99}440\phantom{9}}\\\phantom{55)999}385\\\end{array}
Use the 6^{th} digit 5 from dividend 235785
\begin{array}{l}\phantom{55)}004287\phantom{12}\\55\overline{)235785}\\\phantom{55)}\underline{\phantom{}220\phantom{999}}\\\phantom{55)9}157\\\phantom{55)}\underline{\phantom{9}110\phantom{99}}\\\phantom{55)99}478\\\phantom{55)}\underline{\phantom{99}440\phantom{9}}\\\phantom{55)999}385\\\phantom{55)}\underline{\phantom{999}385\phantom{}}\\\phantom{55)999999}0\\\end{array}
Find closest multiple of 55 to 385. We see that 7 \times 55 = 385 is the nearest. Now subtract 385 from 385 to get reminder 0. Add 7 to quotient.
\text{Quotient: }4287 \text{Reminder: }0
Since 0 is less than 55, stop the division. The reminder is 0. The topmost line 004287 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4287.
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}