Evaluate
\frac{424}{217}\approx 1.953917051
Factor
\frac{2 ^ {3} \cdot 53}{7 \cdot 31} = 1\frac{207}{217} = 1.9539170506912442
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\begin{array}{l}\phantom{217)}\phantom{1}\\217\overline{)424}\\\end{array}
Use the 1^{st} digit 4 from dividend 424
\begin{array}{l}\phantom{217)}0\phantom{2}\\217\overline{)424}\\\end{array}
Since 4 is less than 217, use the next digit 2 from dividend 424 and add 0 to the quotient
\begin{array}{l}\phantom{217)}0\phantom{3}\\217\overline{)424}\\\end{array}
Use the 2^{nd} digit 2 from dividend 424
\begin{array}{l}\phantom{217)}00\phantom{4}\\217\overline{)424}\\\end{array}
Since 42 is less than 217, use the next digit 4 from dividend 424 and add 0 to the quotient
\begin{array}{l}\phantom{217)}00\phantom{5}\\217\overline{)424}\\\end{array}
Use the 3^{rd} digit 4 from dividend 424
\begin{array}{l}\phantom{217)}001\phantom{6}\\217\overline{)424}\\\phantom{217)}\underline{\phantom{}217\phantom{}}\\\phantom{217)}207\\\end{array}
Find closest multiple of 217 to 424. We see that 1 \times 217 = 217 is the nearest. Now subtract 217 from 424 to get reminder 207. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }207
Since 207 is less than 217, stop the division. The reminder is 207. 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}