Evaluate
\frac{2000}{17}\approx 117.647058824
Factor
\frac{2 ^ {4} \cdot 5 ^ {3}}{17} = 117\frac{11}{17} = 117.6470588235294
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\begin{array}{l}\phantom{425)}\phantom{1}\\425\overline{)50000}\\\end{array}
Use the 1^{st} digit 5 from dividend 50000
\begin{array}{l}\phantom{425)}0\phantom{2}\\425\overline{)50000}\\\end{array}
Since 5 is less than 425, use the next digit 0 from dividend 50000 and add 0 to the quotient
\begin{array}{l}\phantom{425)}0\phantom{3}\\425\overline{)50000}\\\end{array}
Use the 2^{nd} digit 0 from dividend 50000
\begin{array}{l}\phantom{425)}00\phantom{4}\\425\overline{)50000}\\\end{array}
Since 50 is less than 425, use the next digit 0 from dividend 50000 and add 0 to the quotient
\begin{array}{l}\phantom{425)}00\phantom{5}\\425\overline{)50000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 50000
\begin{array}{l}\phantom{425)}001\phantom{6}\\425\overline{)50000}\\\phantom{425)}\underline{\phantom{}425\phantom{99}}\\\phantom{425)9}75\\\end{array}
Find closest multiple of 425 to 500. We see that 1 \times 425 = 425 is the nearest. Now subtract 425 from 500 to get reminder 75. Add 1 to quotient.
\begin{array}{l}\phantom{425)}001\phantom{7}\\425\overline{)50000}\\\phantom{425)}\underline{\phantom{}425\phantom{99}}\\\phantom{425)9}750\\\end{array}
Use the 4^{th} digit 0 from dividend 50000
\begin{array}{l}\phantom{425)}0011\phantom{8}\\425\overline{)50000}\\\phantom{425)}\underline{\phantom{}425\phantom{99}}\\\phantom{425)9}750\\\phantom{425)}\underline{\phantom{9}425\phantom{9}}\\\phantom{425)9}325\\\end{array}
Find closest multiple of 425 to 750. We see that 1 \times 425 = 425 is the nearest. Now subtract 425 from 750 to get reminder 325. Add 1 to quotient.
\begin{array}{l}\phantom{425)}0011\phantom{9}\\425\overline{)50000}\\\phantom{425)}\underline{\phantom{}425\phantom{99}}\\\phantom{425)9}750\\\phantom{425)}\underline{\phantom{9}425\phantom{9}}\\\phantom{425)9}3250\\\end{array}
Use the 5^{th} digit 0 from dividend 50000
\begin{array}{l}\phantom{425)}00117\phantom{10}\\425\overline{)50000}\\\phantom{425)}\underline{\phantom{}425\phantom{99}}\\\phantom{425)9}750\\\phantom{425)}\underline{\phantom{9}425\phantom{9}}\\\phantom{425)9}3250\\\phantom{425)}\underline{\phantom{9}2975\phantom{}}\\\phantom{425)99}275\\\end{array}
Find closest multiple of 425 to 3250. We see that 7 \times 425 = 2975 is the nearest. Now subtract 2975 from 3250 to get reminder 275. Add 7 to quotient.
\text{Quotient: }117 \text{Reminder: }275
Since 275 is less than 425, stop the division. The reminder is 275. The topmost line 00117 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 117.
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}