Evaluate
\frac{4067}{185}\approx 21.983783784
Factor
\frac{7 ^ {2} \cdot 83}{5 \cdot 37} = 21\frac{182}{185} = 21.983783783783785
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\begin{array}{l}\phantom{185)}\phantom{1}\\185\overline{)4067}\\\end{array}
Use the 1^{st} digit 4 from dividend 4067
\begin{array}{l}\phantom{185)}0\phantom{2}\\185\overline{)4067}\\\end{array}
Since 4 is less than 185, use the next digit 0 from dividend 4067 and add 0 to the quotient
\begin{array}{l}\phantom{185)}0\phantom{3}\\185\overline{)4067}\\\end{array}
Use the 2^{nd} digit 0 from dividend 4067
\begin{array}{l}\phantom{185)}00\phantom{4}\\185\overline{)4067}\\\end{array}
Since 40 is less than 185, use the next digit 6 from dividend 4067 and add 0 to the quotient
\begin{array}{l}\phantom{185)}00\phantom{5}\\185\overline{)4067}\\\end{array}
Use the 3^{rd} digit 6 from dividend 4067
\begin{array}{l}\phantom{185)}002\phantom{6}\\185\overline{)4067}\\\phantom{185)}\underline{\phantom{}370\phantom{9}}\\\phantom{185)9}36\\\end{array}
Find closest multiple of 185 to 406. We see that 2 \times 185 = 370 is the nearest. Now subtract 370 from 406 to get reminder 36. Add 2 to quotient.
\begin{array}{l}\phantom{185)}002\phantom{7}\\185\overline{)4067}\\\phantom{185)}\underline{\phantom{}370\phantom{9}}\\\phantom{185)9}367\\\end{array}
Use the 4^{th} digit 7 from dividend 4067
\begin{array}{l}\phantom{185)}0021\phantom{8}\\185\overline{)4067}\\\phantom{185)}\underline{\phantom{}370\phantom{9}}\\\phantom{185)9}367\\\phantom{185)}\underline{\phantom{9}185\phantom{}}\\\phantom{185)9}182\\\end{array}
Find closest multiple of 185 to 367. We see that 1 \times 185 = 185 is the nearest. Now subtract 185 from 367 to get reminder 182. Add 1 to quotient.
\text{Quotient: }21 \text{Reminder: }182
Since 182 is less than 185, stop the division. The reminder is 182. The topmost line 0021 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 21.
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}