Evaluate
\frac{23}{20}=1.15
Factor
\frac{23}{2 ^ {2} \cdot 5} = 1\frac{3}{20} = 1.15
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\begin{array}{l}\phantom{380)}\phantom{1}\\380\overline{)437}\\\end{array}
Use the 1^{st} digit 4 from dividend 437
\begin{array}{l}\phantom{380)}0\phantom{2}\\380\overline{)437}\\\end{array}
Since 4 is less than 380, use the next digit 3 from dividend 437 and add 0 to the quotient
\begin{array}{l}\phantom{380)}0\phantom{3}\\380\overline{)437}\\\end{array}
Use the 2^{nd} digit 3 from dividend 437
\begin{array}{l}\phantom{380)}00\phantom{4}\\380\overline{)437}\\\end{array}
Since 43 is less than 380, use the next digit 7 from dividend 437 and add 0 to the quotient
\begin{array}{l}\phantom{380)}00\phantom{5}\\380\overline{)437}\\\end{array}
Use the 3^{rd} digit 7 from dividend 437
\begin{array}{l}\phantom{380)}001\phantom{6}\\380\overline{)437}\\\phantom{380)}\underline{\phantom{}380\phantom{}}\\\phantom{380)9}57\\\end{array}
Find closest multiple of 380 to 437. We see that 1 \times 380 = 380 is the nearest. Now subtract 380 from 437 to get reminder 57. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }57
Since 57 is less than 380, stop the division. The reminder is 57. The topmost line 001 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}