Evaluate
\frac{237}{43}\approx 5.511627907
Factor
\frac{3 \cdot 79}{43} = 5\frac{22}{43} = 5.511627906976744
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\begin{array}{l}\phantom{43)}\phantom{1}\\43\overline{)237}\\\end{array}
Use the 1^{st} digit 2 from dividend 237
\begin{array}{l}\phantom{43)}0\phantom{2}\\43\overline{)237}\\\end{array}
Since 2 is less than 43, use the next digit 3 from dividend 237 and add 0 to the quotient
\begin{array}{l}\phantom{43)}0\phantom{3}\\43\overline{)237}\\\end{array}
Use the 2^{nd} digit 3 from dividend 237
\begin{array}{l}\phantom{43)}00\phantom{4}\\43\overline{)237}\\\end{array}
Since 23 is less than 43, use the next digit 7 from dividend 237 and add 0 to the quotient
\begin{array}{l}\phantom{43)}00\phantom{5}\\43\overline{)237}\\\end{array}
Use the 3^{rd} digit 7 from dividend 237
\begin{array}{l}\phantom{43)}005\phantom{6}\\43\overline{)237}\\\phantom{43)}\underline{\phantom{}215\phantom{}}\\\phantom{43)9}22\\\end{array}
Find closest multiple of 43 to 237. We see that 5 \times 43 = 215 is the nearest. Now subtract 215 from 237 to get reminder 22. Add 5 to quotient.
\text{Quotient: }5 \text{Reminder: }22
Since 22 is less than 43, stop the division. The reminder is 22. The topmost line 005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.
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}