Evaluate
\frac{433}{95}\approx 4.557894737
Factor
\frac{433}{5 \cdot 19} = 4\frac{53}{95} = 4.557894736842106
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\begin{array}{l}\phantom{95)}\phantom{1}\\95\overline{)433}\\\end{array}
Use the 1^{st} digit 4 from dividend 433
\begin{array}{l}\phantom{95)}0\phantom{2}\\95\overline{)433}\\\end{array}
Since 4 is less than 95, use the next digit 3 from dividend 433 and add 0 to the quotient
\begin{array}{l}\phantom{95)}0\phantom{3}\\95\overline{)433}\\\end{array}
Use the 2^{nd} digit 3 from dividend 433
\begin{array}{l}\phantom{95)}00\phantom{4}\\95\overline{)433}\\\end{array}
Since 43 is less than 95, use the next digit 3 from dividend 433 and add 0 to the quotient
\begin{array}{l}\phantom{95)}00\phantom{5}\\95\overline{)433}\\\end{array}
Use the 3^{rd} digit 3 from dividend 433
\begin{array}{l}\phantom{95)}004\phantom{6}\\95\overline{)433}\\\phantom{95)}\underline{\phantom{}380\phantom{}}\\\phantom{95)9}53\\\end{array}
Find closest multiple of 95 to 433. We see that 4 \times 95 = 380 is the nearest. Now subtract 380 from 433 to get reminder 53. Add 4 to quotient.
\text{Quotient: }4 \text{Reminder: }53
Since 53 is less than 95, stop the division. The reminder is 53. The topmost line 004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.
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}