Evaluate
\frac{4826}{93}\approx 51.892473118
Factor
\frac{2 \cdot 19 \cdot 127}{3 \cdot 31} = 51\frac{83}{93} = 51.89247311827957
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\begin{array}{l}\phantom{93)}\phantom{1}\\93\overline{)4826}\\\end{array}
Use the 1^{st} digit 4 from dividend 4826
\begin{array}{l}\phantom{93)}0\phantom{2}\\93\overline{)4826}\\\end{array}
Since 4 is less than 93, use the next digit 8 from dividend 4826 and add 0 to the quotient
\begin{array}{l}\phantom{93)}0\phantom{3}\\93\overline{)4826}\\\end{array}
Use the 2^{nd} digit 8 from dividend 4826
\begin{array}{l}\phantom{93)}00\phantom{4}\\93\overline{)4826}\\\end{array}
Since 48 is less than 93, use the next digit 2 from dividend 4826 and add 0 to the quotient
\begin{array}{l}\phantom{93)}00\phantom{5}\\93\overline{)4826}\\\end{array}
Use the 3^{rd} digit 2 from dividend 4826
\begin{array}{l}\phantom{93)}005\phantom{6}\\93\overline{)4826}\\\phantom{93)}\underline{\phantom{}465\phantom{9}}\\\phantom{93)9}17\\\end{array}
Find closest multiple of 93 to 482. We see that 5 \times 93 = 465 is the nearest. Now subtract 465 from 482 to get reminder 17. Add 5 to quotient.
\begin{array}{l}\phantom{93)}005\phantom{7}\\93\overline{)4826}\\\phantom{93)}\underline{\phantom{}465\phantom{9}}\\\phantom{93)9}176\\\end{array}
Use the 4^{th} digit 6 from dividend 4826
\begin{array}{l}\phantom{93)}0051\phantom{8}\\93\overline{)4826}\\\phantom{93)}\underline{\phantom{}465\phantom{9}}\\\phantom{93)9}176\\\phantom{93)}\underline{\phantom{99}93\phantom{}}\\\phantom{93)99}83\\\end{array}
Find closest multiple of 93 to 176. We see that 1 \times 93 = 93 is the nearest. Now subtract 93 from 176 to get reminder 83. Add 1 to quotient.
\text{Quotient: }51 \text{Reminder: }83
Since 83 is less than 93, stop the division. The reminder is 83. The topmost line 0051 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 51.
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}