Evaluate
94
Factor
2\times 47
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\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)2350}\\\end{array}
Use the 1^{st} digit 2 from dividend 2350
\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)2350}\\\end{array}
Since 2 is less than 25, use the next digit 3 from dividend 2350 and add 0 to the quotient
\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)2350}\\\end{array}
Use the 2^{nd} digit 3 from dividend 2350
\begin{array}{l}\phantom{25)}00\phantom{4}\\25\overline{)2350}\\\end{array}
Since 23 is less than 25, use the next digit 5 from dividend 2350 and add 0 to the quotient
\begin{array}{l}\phantom{25)}00\phantom{5}\\25\overline{)2350}\\\end{array}
Use the 3^{rd} digit 5 from dividend 2350
\begin{array}{l}\phantom{25)}009\phantom{6}\\25\overline{)2350}\\\phantom{25)}\underline{\phantom{}225\phantom{9}}\\\phantom{25)9}10\\\end{array}
Find closest multiple of 25 to 235. We see that 9 \times 25 = 225 is the nearest. Now subtract 225 from 235 to get reminder 10. Add 9 to quotient.
\begin{array}{l}\phantom{25)}009\phantom{7}\\25\overline{)2350}\\\phantom{25)}\underline{\phantom{}225\phantom{9}}\\\phantom{25)9}100\\\end{array}
Use the 4^{th} digit 0 from dividend 2350
\begin{array}{l}\phantom{25)}0094\phantom{8}\\25\overline{)2350}\\\phantom{25)}\underline{\phantom{}225\phantom{9}}\\\phantom{25)9}100\\\phantom{25)}\underline{\phantom{9}100\phantom{}}\\\phantom{25)9999}0\\\end{array}
Find closest multiple of 25 to 100. We see that 4 \times 25 = 100 is the nearest. Now subtract 100 from 100 to get reminder 0. Add 4 to quotient.
\text{Quotient: }94 \text{Reminder: }0
Since 0 is less than 25, stop the division. The reminder is 0. The topmost line 0094 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 94.
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}