Evaluate
\frac{30000}{29}\approx 1034.482758621
Factor
\frac{2 ^ {4} \cdot 3 \cdot 5 ^ {4}}{29} = 1034\frac{14}{29} = 1034.4827586206898
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\begin{array}{l}\phantom{87)}\phantom{1}\\87\overline{)90000}\\\end{array}
Use the 1^{st} digit 9 from dividend 90000
\begin{array}{l}\phantom{87)}0\phantom{2}\\87\overline{)90000}\\\end{array}
Since 9 is less than 87, use the next digit 0 from dividend 90000 and add 0 to the quotient
\begin{array}{l}\phantom{87)}0\phantom{3}\\87\overline{)90000}\\\end{array}
Use the 2^{nd} digit 0 from dividend 90000
\begin{array}{l}\phantom{87)}01\phantom{4}\\87\overline{)90000}\\\phantom{87)}\underline{\phantom{}87\phantom{999}}\\\phantom{87)9}3\\\end{array}
Find closest multiple of 87 to 90. We see that 1 \times 87 = 87 is the nearest. Now subtract 87 from 90 to get reminder 3. Add 1 to quotient.
\begin{array}{l}\phantom{87)}01\phantom{5}\\87\overline{)90000}\\\phantom{87)}\underline{\phantom{}87\phantom{999}}\\\phantom{87)9}30\\\end{array}
Use the 3^{rd} digit 0 from dividend 90000
\begin{array}{l}\phantom{87)}010\phantom{6}\\87\overline{)90000}\\\phantom{87)}\underline{\phantom{}87\phantom{999}}\\\phantom{87)9}30\\\end{array}
Since 30 is less than 87, use the next digit 0 from dividend 90000 and add 0 to the quotient
\begin{array}{l}\phantom{87)}010\phantom{7}\\87\overline{)90000}\\\phantom{87)}\underline{\phantom{}87\phantom{999}}\\\phantom{87)9}300\\\end{array}
Use the 4^{th} digit 0 from dividend 90000
\begin{array}{l}\phantom{87)}0103\phantom{8}\\87\overline{)90000}\\\phantom{87)}\underline{\phantom{}87\phantom{999}}\\\phantom{87)9}300\\\phantom{87)}\underline{\phantom{9}261\phantom{9}}\\\phantom{87)99}39\\\end{array}
Find closest multiple of 87 to 300. We see that 3 \times 87 = 261 is the nearest. Now subtract 261 from 300 to get reminder 39. Add 3 to quotient.
\begin{array}{l}\phantom{87)}0103\phantom{9}\\87\overline{)90000}\\\phantom{87)}\underline{\phantom{}87\phantom{999}}\\\phantom{87)9}300\\\phantom{87)}\underline{\phantom{9}261\phantom{9}}\\\phantom{87)99}390\\\end{array}
Use the 5^{th} digit 0 from dividend 90000
\begin{array}{l}\phantom{87)}01034\phantom{10}\\87\overline{)90000}\\\phantom{87)}\underline{\phantom{}87\phantom{999}}\\\phantom{87)9}300\\\phantom{87)}\underline{\phantom{9}261\phantom{9}}\\\phantom{87)99}390\\\phantom{87)}\underline{\phantom{99}348\phantom{}}\\\phantom{87)999}42\\\end{array}
Find closest multiple of 87 to 390. We see that 4 \times 87 = 348 is the nearest. Now subtract 348 from 390 to get reminder 42. Add 4 to quotient.
\text{Quotient: }1034 \text{Reminder: }42
Since 42 is less than 87, stop the division. The reminder is 42. The topmost line 01034 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1034.
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}