Evaluate
\frac{92}{85}\approx 1.082352941
Factor
\frac{2 ^ {2} \cdot 23}{5 \cdot 17} = 1\frac{7}{85} = 1.0823529411764705
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\begin{array}{l}\phantom{4250)}\phantom{1}\\4250\overline{)4600}\\\end{array}
Use the 1^{st} digit 4 from dividend 4600
\begin{array}{l}\phantom{4250)}0\phantom{2}\\4250\overline{)4600}\\\end{array}
Since 4 is less than 4250, use the next digit 6 from dividend 4600 and add 0 to the quotient
\begin{array}{l}\phantom{4250)}0\phantom{3}\\4250\overline{)4600}\\\end{array}
Use the 2^{nd} digit 6 from dividend 4600
\begin{array}{l}\phantom{4250)}00\phantom{4}\\4250\overline{)4600}\\\end{array}
Since 46 is less than 4250, use the next digit 0 from dividend 4600 and add 0 to the quotient
\begin{array}{l}\phantom{4250)}00\phantom{5}\\4250\overline{)4600}\\\end{array}
Use the 3^{rd} digit 0 from dividend 4600
\begin{array}{l}\phantom{4250)}000\phantom{6}\\4250\overline{)4600}\\\end{array}
Since 460 is less than 4250, use the next digit 0 from dividend 4600 and add 0 to the quotient
\begin{array}{l}\phantom{4250)}000\phantom{7}\\4250\overline{)4600}\\\end{array}
Use the 4^{th} digit 0 from dividend 4600
\begin{array}{l}\phantom{4250)}0001\phantom{8}\\4250\overline{)4600}\\\phantom{4250)}\underline{\phantom{}4250\phantom{}}\\\phantom{4250)9}350\\\end{array}
Find closest multiple of 4250 to 4600. We see that 1 \times 4250 = 4250 is the nearest. Now subtract 4250 from 4600 to get reminder 350. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }350
Since 350 is less than 4250, stop the division. The reminder is 350. The topmost line 0001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.
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}