Evaluate
\frac{2693}{50}=53.86
Factor
\frac{2693}{2 \cdot 5 ^ {2}} = 53\frac{43}{50} = 53.86
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\begin{array}{l}\phantom{50)}\phantom{1}\\50\overline{)2693}\\\end{array}
Use the 1^{st} digit 2 from dividend 2693
\begin{array}{l}\phantom{50)}0\phantom{2}\\50\overline{)2693}\\\end{array}
Since 2 is less than 50, use the next digit 6 from dividend 2693 and add 0 to the quotient
\begin{array}{l}\phantom{50)}0\phantom{3}\\50\overline{)2693}\\\end{array}
Use the 2^{nd} digit 6 from dividend 2693
\begin{array}{l}\phantom{50)}00\phantom{4}\\50\overline{)2693}\\\end{array}
Since 26 is less than 50, use the next digit 9 from dividend 2693 and add 0 to the quotient
\begin{array}{l}\phantom{50)}00\phantom{5}\\50\overline{)2693}\\\end{array}
Use the 3^{rd} digit 9 from dividend 2693
\begin{array}{l}\phantom{50)}005\phantom{6}\\50\overline{)2693}\\\phantom{50)}\underline{\phantom{}250\phantom{9}}\\\phantom{50)9}19\\\end{array}
Find closest multiple of 50 to 269. We see that 5 \times 50 = 250 is the nearest. Now subtract 250 from 269 to get reminder 19. Add 5 to quotient.
\begin{array}{l}\phantom{50)}005\phantom{7}\\50\overline{)2693}\\\phantom{50)}\underline{\phantom{}250\phantom{9}}\\\phantom{50)9}193\\\end{array}
Use the 4^{th} digit 3 from dividend 2693
\begin{array}{l}\phantom{50)}0053\phantom{8}\\50\overline{)2693}\\\phantom{50)}\underline{\phantom{}250\phantom{9}}\\\phantom{50)9}193\\\phantom{50)}\underline{\phantom{9}150\phantom{}}\\\phantom{50)99}43\\\end{array}
Find closest multiple of 50 to 193. We see that 3 \times 50 = 150 is the nearest. Now subtract 150 from 193 to get reminder 43. Add 3 to quotient.
\text{Quotient: }53 \text{Reminder: }43
Since 43 is less than 50, stop the division. The reminder is 43. The topmost line 0053 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 53.
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}