Evaluate
59
Factor
59
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\begin{array}{l}\phantom{57)}\phantom{1}\\57\overline{)3363}\\\end{array}
Use the 1^{st} digit 3 from dividend 3363
\begin{array}{l}\phantom{57)}0\phantom{2}\\57\overline{)3363}\\\end{array}
Since 3 is less than 57, use the next digit 3 from dividend 3363 and add 0 to the quotient
\begin{array}{l}\phantom{57)}0\phantom{3}\\57\overline{)3363}\\\end{array}
Use the 2^{nd} digit 3 from dividend 3363
\begin{array}{l}\phantom{57)}00\phantom{4}\\57\overline{)3363}\\\end{array}
Since 33 is less than 57, use the next digit 6 from dividend 3363 and add 0 to the quotient
\begin{array}{l}\phantom{57)}00\phantom{5}\\57\overline{)3363}\\\end{array}
Use the 3^{rd} digit 6 from dividend 3363
\begin{array}{l}\phantom{57)}005\phantom{6}\\57\overline{)3363}\\\phantom{57)}\underline{\phantom{}285\phantom{9}}\\\phantom{57)9}51\\\end{array}
Find closest multiple of 57 to 336. We see that 5 \times 57 = 285 is the nearest. Now subtract 285 from 336 to get reminder 51. Add 5 to quotient.
\begin{array}{l}\phantom{57)}005\phantom{7}\\57\overline{)3363}\\\phantom{57)}\underline{\phantom{}285\phantom{9}}\\\phantom{57)9}513\\\end{array}
Use the 4^{th} digit 3 from dividend 3363
\begin{array}{l}\phantom{57)}0059\phantom{8}\\57\overline{)3363}\\\phantom{57)}\underline{\phantom{}285\phantom{9}}\\\phantom{57)9}513\\\phantom{57)}\underline{\phantom{9}513\phantom{}}\\\phantom{57)9999}0\\\end{array}
Find closest multiple of 57 to 513. We see that 9 \times 57 = 513 is the nearest. Now subtract 513 from 513 to get reminder 0. Add 9 to quotient.
\text{Quotient: }59 \text{Reminder: }0
Since 0 is less than 57, stop the division. The reminder is 0. The topmost line 0059 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 59.
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}