Evaluate
\frac{43}{5}=8.6
Factor
\frac{43}{5} = 8\frac{3}{5} = 8.6
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\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)215}\\\end{array}
Use the 1^{st} digit 2 from dividend 215
\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)215}\\\end{array}
Since 2 is less than 25, use the next digit 1 from dividend 215 and add 0 to the quotient
\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)215}\\\end{array}
Use the 2^{nd} digit 1 from dividend 215
\begin{array}{l}\phantom{25)}00\phantom{4}\\25\overline{)215}\\\end{array}
Since 21 is less than 25, use the next digit 5 from dividend 215 and add 0 to the quotient
\begin{array}{l}\phantom{25)}00\phantom{5}\\25\overline{)215}\\\end{array}
Use the 3^{rd} digit 5 from dividend 215
\begin{array}{l}\phantom{25)}008\phantom{6}\\25\overline{)215}\\\phantom{25)}\underline{\phantom{}200\phantom{}}\\\phantom{25)9}15\\\end{array}
Find closest multiple of 25 to 215. We see that 8 \times 25 = 200 is the nearest. Now subtract 200 from 215 to get reminder 15. Add 8 to quotient.
\text{Quotient: }8 \text{Reminder: }15
Since 15 is less than 25, stop the division. The reminder is 15. The topmost line 008 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 8.
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}