Evaluate
\frac{78852}{235}\approx 335.540425532
Factor
\frac{2 ^ {2} \cdot 3 \cdot 6571}{5 \cdot 47} = 335\frac{127}{235} = 335.5404255319149
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\begin{array}{l}\phantom{235)}\phantom{1}\\235\overline{)78852}\\\end{array}
Use the 1^{st} digit 7 from dividend 78852
\begin{array}{l}\phantom{235)}0\phantom{2}\\235\overline{)78852}\\\end{array}
Since 7 is less than 235, use the next digit 8 from dividend 78852 and add 0 to the quotient
\begin{array}{l}\phantom{235)}0\phantom{3}\\235\overline{)78852}\\\end{array}
Use the 2^{nd} digit 8 from dividend 78852
\begin{array}{l}\phantom{235)}00\phantom{4}\\235\overline{)78852}\\\end{array}
Since 78 is less than 235, use the next digit 8 from dividend 78852 and add 0 to the quotient
\begin{array}{l}\phantom{235)}00\phantom{5}\\235\overline{)78852}\\\end{array}
Use the 3^{rd} digit 8 from dividend 78852
\begin{array}{l}\phantom{235)}003\phantom{6}\\235\overline{)78852}\\\phantom{235)}\underline{\phantom{}705\phantom{99}}\\\phantom{235)9}83\\\end{array}
Find closest multiple of 235 to 788. We see that 3 \times 235 = 705 is the nearest. Now subtract 705 from 788 to get reminder 83. Add 3 to quotient.
\begin{array}{l}\phantom{235)}003\phantom{7}\\235\overline{)78852}\\\phantom{235)}\underline{\phantom{}705\phantom{99}}\\\phantom{235)9}835\\\end{array}
Use the 4^{th} digit 5 from dividend 78852
\begin{array}{l}\phantom{235)}0033\phantom{8}\\235\overline{)78852}\\\phantom{235)}\underline{\phantom{}705\phantom{99}}\\\phantom{235)9}835\\\phantom{235)}\underline{\phantom{9}705\phantom{9}}\\\phantom{235)9}130\\\end{array}
Find closest multiple of 235 to 835. We see that 3 \times 235 = 705 is the nearest. Now subtract 705 from 835 to get reminder 130. Add 3 to quotient.
\begin{array}{l}\phantom{235)}0033\phantom{9}\\235\overline{)78852}\\\phantom{235)}\underline{\phantom{}705\phantom{99}}\\\phantom{235)9}835\\\phantom{235)}\underline{\phantom{9}705\phantom{9}}\\\phantom{235)9}1302\\\end{array}
Use the 5^{th} digit 2 from dividend 78852
\begin{array}{l}\phantom{235)}00335\phantom{10}\\235\overline{)78852}\\\phantom{235)}\underline{\phantom{}705\phantom{99}}\\\phantom{235)9}835\\\phantom{235)}\underline{\phantom{9}705\phantom{9}}\\\phantom{235)9}1302\\\phantom{235)}\underline{\phantom{9}1175\phantom{}}\\\phantom{235)99}127\\\end{array}
Find closest multiple of 235 to 1302. We see that 5 \times 235 = 1175 is the nearest. Now subtract 1175 from 1302 to get reminder 127. Add 5 to quotient.
\text{Quotient: }335 \text{Reminder: }127
Since 127 is less than 235, stop the division. The reminder is 127. The topmost line 00335 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 335.
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}