Evaluate
\frac{185}{23}\approx 8.043478261
Factor
\frac{5 \cdot 37}{23} = 8\frac{1}{23} = 8.043478260869565
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\begin{array}{l}\phantom{23)}\phantom{1}\\23\overline{)185}\\\end{array}
Use the 1^{st} digit 1 from dividend 185
\begin{array}{l}\phantom{23)}0\phantom{2}\\23\overline{)185}\\\end{array}
Since 1 is less than 23, use the next digit 8 from dividend 185 and add 0 to the quotient
\begin{array}{l}\phantom{23)}0\phantom{3}\\23\overline{)185}\\\end{array}
Use the 2^{nd} digit 8 from dividend 185
\begin{array}{l}\phantom{23)}00\phantom{4}\\23\overline{)185}\\\end{array}
Since 18 is less than 23, use the next digit 5 from dividend 185 and add 0 to the quotient
\begin{array}{l}\phantom{23)}00\phantom{5}\\23\overline{)185}\\\end{array}
Use the 3^{rd} digit 5 from dividend 185
\begin{array}{l}\phantom{23)}008\phantom{6}\\23\overline{)185}\\\phantom{23)}\underline{\phantom{}184\phantom{}}\\\phantom{23)99}1\\\end{array}
Find closest multiple of 23 to 185. We see that 8 \times 23 = 184 is the nearest. Now subtract 184 from 185 to get reminder 1. Add 8 to quotient.
\text{Quotient: }8 \text{Reminder: }1
Since 1 is less than 23, stop the division. The reminder is 1. 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}