Evaluate
\frac{133201}{7500}\approx 17.760133333
Factor
\frac{133201}{2 ^ {2} \cdot 3 \cdot 5 ^ {4}} = 17\frac{5701}{7500} = 17.760133333333332
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\begin{array}{l}\phantom{7500)}\phantom{1}\\7500\overline{)133201}\\\end{array}
Use the 1^{st} digit 1 from dividend 133201
\begin{array}{l}\phantom{7500)}0\phantom{2}\\7500\overline{)133201}\\\end{array}
Since 1 is less than 7500, use the next digit 3 from dividend 133201 and add 0 to the quotient
\begin{array}{l}\phantom{7500)}0\phantom{3}\\7500\overline{)133201}\\\end{array}
Use the 2^{nd} digit 3 from dividend 133201
\begin{array}{l}\phantom{7500)}00\phantom{4}\\7500\overline{)133201}\\\end{array}
Since 13 is less than 7500, use the next digit 3 from dividend 133201 and add 0 to the quotient
\begin{array}{l}\phantom{7500)}00\phantom{5}\\7500\overline{)133201}\\\end{array}
Use the 3^{rd} digit 3 from dividend 133201
\begin{array}{l}\phantom{7500)}000\phantom{6}\\7500\overline{)133201}\\\end{array}
Since 133 is less than 7500, use the next digit 2 from dividend 133201 and add 0 to the quotient
\begin{array}{l}\phantom{7500)}000\phantom{7}\\7500\overline{)133201}\\\end{array}
Use the 4^{th} digit 2 from dividend 133201
\begin{array}{l}\phantom{7500)}0000\phantom{8}\\7500\overline{)133201}\\\end{array}
Since 1332 is less than 7500, use the next digit 0 from dividend 133201 and add 0 to the quotient
\begin{array}{l}\phantom{7500)}0000\phantom{9}\\7500\overline{)133201}\\\end{array}
Use the 5^{th} digit 0 from dividend 133201
\begin{array}{l}\phantom{7500)}00001\phantom{10}\\7500\overline{)133201}\\\phantom{7500)}\underline{\phantom{9}7500\phantom{9}}\\\phantom{7500)9}5820\\\end{array}
Find closest multiple of 7500 to 13320. We see that 1 \times 7500 = 7500 is the nearest. Now subtract 7500 from 13320 to get reminder 5820. Add 1 to quotient.
\begin{array}{l}\phantom{7500)}00001\phantom{11}\\7500\overline{)133201}\\\phantom{7500)}\underline{\phantom{9}7500\phantom{9}}\\\phantom{7500)9}58201\\\end{array}
Use the 6^{th} digit 1 from dividend 133201
\begin{array}{l}\phantom{7500)}000017\phantom{12}\\7500\overline{)133201}\\\phantom{7500)}\underline{\phantom{9}7500\phantom{9}}\\\phantom{7500)9}58201\\\phantom{7500)}\underline{\phantom{9}52500\phantom{}}\\\phantom{7500)99}5701\\\end{array}
Find closest multiple of 7500 to 58201. We see that 7 \times 7500 = 52500 is the nearest. Now subtract 52500 from 58201 to get reminder 5701. Add 7 to quotient.
\text{Quotient: }17 \text{Reminder: }5701
Since 5701 is less than 7500, stop the division. The reminder is 5701. The topmost line 000017 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 17.
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}