Evaluate
3
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\begin{array}{l}\phantom{314)}\phantom{1}\\314\overline{)942}\\\end{array}
Use the 1^{st} digit 9 from dividend 942
\begin{array}{l}\phantom{314)}0\phantom{2}\\314\overline{)942}\\\end{array}
Since 9 is less than 314, use the next digit 4 from dividend 942 and add 0 to the quotient
\begin{array}{l}\phantom{314)}0\phantom{3}\\314\overline{)942}\\\end{array}
Use the 2^{nd} digit 4 from dividend 942
\begin{array}{l}\phantom{314)}00\phantom{4}\\314\overline{)942}\\\end{array}
Since 94 is less than 314, use the next digit 2 from dividend 942 and add 0 to the quotient
\begin{array}{l}\phantom{314)}00\phantom{5}\\314\overline{)942}\\\end{array}
Use the 3^{rd} digit 2 from dividend 942
\begin{array}{l}\phantom{314)}003\phantom{6}\\314\overline{)942}\\\phantom{314)}\underline{\phantom{}942\phantom{}}\\\phantom{314)999}0\\\end{array}
Find closest multiple of 314 to 942. We see that 3 \times 314 = 942 is the nearest. Now subtract 942 from 942 to get reminder 0. Add 3 to quotient.
\text{Quotient: }3 \text{Reminder: }0
Since 0 is less than 314, stop the division. The reminder is 0. The topmost line 003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.
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}