Evaluate
\frac{4653}{17}\approx 273.705882353
Factor
\frac{3 ^ {2} \cdot 11 \cdot 47}{17} = 273\frac{12}{17} = 273.70588235294116
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\begin{array}{l}\phantom{34)}\phantom{1}\\34\overline{)9306}\\\end{array}
Use the 1^{st} digit 9 from dividend 9306
\begin{array}{l}\phantom{34)}0\phantom{2}\\34\overline{)9306}\\\end{array}
Since 9 is less than 34, use the next digit 3 from dividend 9306 and add 0 to the quotient
\begin{array}{l}\phantom{34)}0\phantom{3}\\34\overline{)9306}\\\end{array}
Use the 2^{nd} digit 3 from dividend 9306
\begin{array}{l}\phantom{34)}02\phantom{4}\\34\overline{)9306}\\\phantom{34)}\underline{\phantom{}68\phantom{99}}\\\phantom{34)}25\\\end{array}
Find closest multiple of 34 to 93. We see that 2 \times 34 = 68 is the nearest. Now subtract 68 from 93 to get reminder 25. Add 2 to quotient.
\begin{array}{l}\phantom{34)}02\phantom{5}\\34\overline{)9306}\\\phantom{34)}\underline{\phantom{}68\phantom{99}}\\\phantom{34)}250\\\end{array}
Use the 3^{rd} digit 0 from dividend 9306
\begin{array}{l}\phantom{34)}027\phantom{6}\\34\overline{)9306}\\\phantom{34)}\underline{\phantom{}68\phantom{99}}\\\phantom{34)}250\\\phantom{34)}\underline{\phantom{}238\phantom{9}}\\\phantom{34)9}12\\\end{array}
Find closest multiple of 34 to 250. We see that 7 \times 34 = 238 is the nearest. Now subtract 238 from 250 to get reminder 12. Add 7 to quotient.
\begin{array}{l}\phantom{34)}027\phantom{7}\\34\overline{)9306}\\\phantom{34)}\underline{\phantom{}68\phantom{99}}\\\phantom{34)}250\\\phantom{34)}\underline{\phantom{}238\phantom{9}}\\\phantom{34)9}126\\\end{array}
Use the 4^{th} digit 6 from dividend 9306
\begin{array}{l}\phantom{34)}0273\phantom{8}\\34\overline{)9306}\\\phantom{34)}\underline{\phantom{}68\phantom{99}}\\\phantom{34)}250\\\phantom{34)}\underline{\phantom{}238\phantom{9}}\\\phantom{34)9}126\\\phantom{34)}\underline{\phantom{9}102\phantom{}}\\\phantom{34)99}24\\\end{array}
Find closest multiple of 34 to 126. We see that 3 \times 34 = 102 is the nearest. Now subtract 102 from 126 to get reminder 24. Add 3 to quotient.
\text{Quotient: }273 \text{Reminder: }24
Since 24 is less than 34, stop the division. The reminder is 24. The topmost line 0273 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 273.
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}