Evaluate
\frac{1825}{19}\approx 96.052631579
Factor
\frac{5 ^ {2} \cdot 73}{19} = 96\frac{1}{19} = 96.05263157894737
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\begin{array}{l}\phantom{3192)}\phantom{1}\\3192\overline{)306600}\\\end{array}
Use the 1^{st} digit 3 from dividend 306600
\begin{array}{l}\phantom{3192)}0\phantom{2}\\3192\overline{)306600}\\\end{array}
Since 3 is less than 3192, use the next digit 0 from dividend 306600 and add 0 to the quotient
\begin{array}{l}\phantom{3192)}0\phantom{3}\\3192\overline{)306600}\\\end{array}
Use the 2^{nd} digit 0 from dividend 306600
\begin{array}{l}\phantom{3192)}00\phantom{4}\\3192\overline{)306600}\\\end{array}
Since 30 is less than 3192, use the next digit 6 from dividend 306600 and add 0 to the quotient
\begin{array}{l}\phantom{3192)}00\phantom{5}\\3192\overline{)306600}\\\end{array}
Use the 3^{rd} digit 6 from dividend 306600
\begin{array}{l}\phantom{3192)}000\phantom{6}\\3192\overline{)306600}\\\end{array}
Since 306 is less than 3192, use the next digit 6 from dividend 306600 and add 0 to the quotient
\begin{array}{l}\phantom{3192)}000\phantom{7}\\3192\overline{)306600}\\\end{array}
Use the 4^{th} digit 6 from dividend 306600
\begin{array}{l}\phantom{3192)}0000\phantom{8}\\3192\overline{)306600}\\\end{array}
Since 3066 is less than 3192, use the next digit 0 from dividend 306600 and add 0 to the quotient
\begin{array}{l}\phantom{3192)}0000\phantom{9}\\3192\overline{)306600}\\\end{array}
Use the 5^{th} digit 0 from dividend 306600
\begin{array}{l}\phantom{3192)}00009\phantom{10}\\3192\overline{)306600}\\\phantom{3192)}\underline{\phantom{}28728\phantom{9}}\\\phantom{3192)9}1932\\\end{array}
Find closest multiple of 3192 to 30660. We see that 9 \times 3192 = 28728 is the nearest. Now subtract 28728 from 30660 to get reminder 1932. Add 9 to quotient.
\begin{array}{l}\phantom{3192)}00009\phantom{11}\\3192\overline{)306600}\\\phantom{3192)}\underline{\phantom{}28728\phantom{9}}\\\phantom{3192)9}19320\\\end{array}
Use the 6^{th} digit 0 from dividend 306600
\begin{array}{l}\phantom{3192)}000096\phantom{12}\\3192\overline{)306600}\\\phantom{3192)}\underline{\phantom{}28728\phantom{9}}\\\phantom{3192)9}19320\\\phantom{3192)}\underline{\phantom{9}19152\phantom{}}\\\phantom{3192)999}168\\\end{array}
Find closest multiple of 3192 to 19320. We see that 6 \times 3192 = 19152 is the nearest. Now subtract 19152 from 19320 to get reminder 168. Add 6 to quotient.
\text{Quotient: }96 \text{Reminder: }168
Since 168 is less than 3192, stop the division. The reminder is 168. The topmost line 000096 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 96.
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}