Evaluate
\frac{5000}{47}\approx 106.382978723
Factor
\frac{2 ^ {3} \cdot 5 ^ {4}}{47} = 106\frac{18}{47} = 106.38297872340425
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\begin{array}{l}\phantom{94)}\phantom{1}\\94\overline{)10000}\\\end{array}
Use the 1^{st} digit 1 from dividend 10000
\begin{array}{l}\phantom{94)}0\phantom{2}\\94\overline{)10000}\\\end{array}
Since 1 is less than 94, use the next digit 0 from dividend 10000 and add 0 to the quotient
\begin{array}{l}\phantom{94)}0\phantom{3}\\94\overline{)10000}\\\end{array}
Use the 2^{nd} digit 0 from dividend 10000
\begin{array}{l}\phantom{94)}00\phantom{4}\\94\overline{)10000}\\\end{array}
Since 10 is less than 94, use the next digit 0 from dividend 10000 and add 0 to the quotient
\begin{array}{l}\phantom{94)}00\phantom{5}\\94\overline{)10000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 10000
\begin{array}{l}\phantom{94)}001\phantom{6}\\94\overline{)10000}\\\phantom{94)}\underline{\phantom{9}94\phantom{99}}\\\phantom{94)99}6\\\end{array}
Find closest multiple of 94 to 100. We see that 1 \times 94 = 94 is the nearest. Now subtract 94 from 100 to get reminder 6. Add 1 to quotient.
\begin{array}{l}\phantom{94)}001\phantom{7}\\94\overline{)10000}\\\phantom{94)}\underline{\phantom{9}94\phantom{99}}\\\phantom{94)99}60\\\end{array}
Use the 4^{th} digit 0 from dividend 10000
\begin{array}{l}\phantom{94)}0010\phantom{8}\\94\overline{)10000}\\\phantom{94)}\underline{\phantom{9}94\phantom{99}}\\\phantom{94)99}60\\\end{array}
Since 60 is less than 94, use the next digit 0 from dividend 10000 and add 0 to the quotient
\begin{array}{l}\phantom{94)}0010\phantom{9}\\94\overline{)10000}\\\phantom{94)}\underline{\phantom{9}94\phantom{99}}\\\phantom{94)99}600\\\end{array}
Use the 5^{th} digit 0 from dividend 10000
\begin{array}{l}\phantom{94)}00106\phantom{10}\\94\overline{)10000}\\\phantom{94)}\underline{\phantom{9}94\phantom{99}}\\\phantom{94)99}600\\\phantom{94)}\underline{\phantom{99}564\phantom{}}\\\phantom{94)999}36\\\end{array}
Find closest multiple of 94 to 600. We see that 6 \times 94 = 564 is the nearest. Now subtract 564 from 600 to get reminder 36. Add 6 to quotient.
\text{Quotient: }106 \text{Reminder: }36
Since 36 is less than 94, stop the division. The reminder is 36. The topmost line 00106 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 106.
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}