Evaluate
\frac{100000}{293}\approx 341.296928328
Factor
\frac{2 ^ {5} \cdot 5 ^ {5}}{293} = 341\frac{87}{293} = 341.29692832764505
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\begin{array}{l}\phantom{293)}\phantom{1}\\293\overline{)100000}\\\end{array}
Use the 1^{st} digit 1 from dividend 100000
\begin{array}{l}\phantom{293)}0\phantom{2}\\293\overline{)100000}\\\end{array}
Since 1 is less than 293, use the next digit 0 from dividend 100000 and add 0 to the quotient
\begin{array}{l}\phantom{293)}0\phantom{3}\\293\overline{)100000}\\\end{array}
Use the 2^{nd} digit 0 from dividend 100000
\begin{array}{l}\phantom{293)}00\phantom{4}\\293\overline{)100000}\\\end{array}
Since 10 is less than 293, use the next digit 0 from dividend 100000 and add 0 to the quotient
\begin{array}{l}\phantom{293)}00\phantom{5}\\293\overline{)100000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 100000
\begin{array}{l}\phantom{293)}000\phantom{6}\\293\overline{)100000}\\\end{array}
Since 100 is less than 293, use the next digit 0 from dividend 100000 and add 0 to the quotient
\begin{array}{l}\phantom{293)}000\phantom{7}\\293\overline{)100000}\\\end{array}
Use the 4^{th} digit 0 from dividend 100000
\begin{array}{l}\phantom{293)}0003\phantom{8}\\293\overline{)100000}\\\phantom{293)}\underline{\phantom{9}879\phantom{99}}\\\phantom{293)9}121\\\end{array}
Find closest multiple of 293 to 1000. We see that 3 \times 293 = 879 is the nearest. Now subtract 879 from 1000 to get reminder 121. Add 3 to quotient.
\begin{array}{l}\phantom{293)}0003\phantom{9}\\293\overline{)100000}\\\phantom{293)}\underline{\phantom{9}879\phantom{99}}\\\phantom{293)9}1210\\\end{array}
Use the 5^{th} digit 0 from dividend 100000
\begin{array}{l}\phantom{293)}00034\phantom{10}\\293\overline{)100000}\\\phantom{293)}\underline{\phantom{9}879\phantom{99}}\\\phantom{293)9}1210\\\phantom{293)}\underline{\phantom{9}1172\phantom{9}}\\\phantom{293)999}38\\\end{array}
Find closest multiple of 293 to 1210. We see that 4 \times 293 = 1172 is the nearest. Now subtract 1172 from 1210 to get reminder 38. Add 4 to quotient.
\begin{array}{l}\phantom{293)}00034\phantom{11}\\293\overline{)100000}\\\phantom{293)}\underline{\phantom{9}879\phantom{99}}\\\phantom{293)9}1210\\\phantom{293)}\underline{\phantom{9}1172\phantom{9}}\\\phantom{293)999}380\\\end{array}
Use the 6^{th} digit 0 from dividend 100000
\begin{array}{l}\phantom{293)}000341\phantom{12}\\293\overline{)100000}\\\phantom{293)}\underline{\phantom{9}879\phantom{99}}\\\phantom{293)9}1210\\\phantom{293)}\underline{\phantom{9}1172\phantom{9}}\\\phantom{293)999}380\\\phantom{293)}\underline{\phantom{999}293\phantom{}}\\\phantom{293)9999}87\\\end{array}
Find closest multiple of 293 to 380. We see that 1 \times 293 = 293 is the nearest. Now subtract 293 from 380 to get reminder 87. Add 1 to quotient.
\text{Quotient: }341 \text{Reminder: }87
Since 87 is less than 293, stop the division. The reminder is 87. The topmost line 000341 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 341.
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}