Evaluate
\frac{99997}{29}\approx 3448.172413793
Factor
\frac{19 ^ {2} \cdot 277}{29} = 3448\frac{5}{29} = 3448.1724137931033
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\begin{array}{l}\phantom{29)}\phantom{1}\\29\overline{)99997}\\\end{array}
Use the 1^{st} digit 9 from dividend 99997
\begin{array}{l}\phantom{29)}0\phantom{2}\\29\overline{)99997}\\\end{array}
Since 9 is less than 29, use the next digit 9 from dividend 99997 and add 0 to the quotient
\begin{array}{l}\phantom{29)}0\phantom{3}\\29\overline{)99997}\\\end{array}
Use the 2^{nd} digit 9 from dividend 99997
\begin{array}{l}\phantom{29)}03\phantom{4}\\29\overline{)99997}\\\phantom{29)}\underline{\phantom{}87\phantom{999}}\\\phantom{29)}12\\\end{array}
Find closest multiple of 29 to 99. We see that 3 \times 29 = 87 is the nearest. Now subtract 87 from 99 to get reminder 12. Add 3 to quotient.
\begin{array}{l}\phantom{29)}03\phantom{5}\\29\overline{)99997}\\\phantom{29)}\underline{\phantom{}87\phantom{999}}\\\phantom{29)}129\\\end{array}
Use the 3^{rd} digit 9 from dividend 99997
\begin{array}{l}\phantom{29)}034\phantom{6}\\29\overline{)99997}\\\phantom{29)}\underline{\phantom{}87\phantom{999}}\\\phantom{29)}129\\\phantom{29)}\underline{\phantom{}116\phantom{99}}\\\phantom{29)9}13\\\end{array}
Find closest multiple of 29 to 129. We see that 4 \times 29 = 116 is the nearest. Now subtract 116 from 129 to get reminder 13. Add 4 to quotient.
\begin{array}{l}\phantom{29)}034\phantom{7}\\29\overline{)99997}\\\phantom{29)}\underline{\phantom{}87\phantom{999}}\\\phantom{29)}129\\\phantom{29)}\underline{\phantom{}116\phantom{99}}\\\phantom{29)9}139\\\end{array}
Use the 4^{th} digit 9 from dividend 99997
\begin{array}{l}\phantom{29)}0344\phantom{8}\\29\overline{)99997}\\\phantom{29)}\underline{\phantom{}87\phantom{999}}\\\phantom{29)}129\\\phantom{29)}\underline{\phantom{}116\phantom{99}}\\\phantom{29)9}139\\\phantom{29)}\underline{\phantom{9}116\phantom{9}}\\\phantom{29)99}23\\\end{array}
Find closest multiple of 29 to 139. We see that 4 \times 29 = 116 is the nearest. Now subtract 116 from 139 to get reminder 23. Add 4 to quotient.
\begin{array}{l}\phantom{29)}0344\phantom{9}\\29\overline{)99997}\\\phantom{29)}\underline{\phantom{}87\phantom{999}}\\\phantom{29)}129\\\phantom{29)}\underline{\phantom{}116\phantom{99}}\\\phantom{29)9}139\\\phantom{29)}\underline{\phantom{9}116\phantom{9}}\\\phantom{29)99}237\\\end{array}
Use the 5^{th} digit 7 from dividend 99997
\begin{array}{l}\phantom{29)}03448\phantom{10}\\29\overline{)99997}\\\phantom{29)}\underline{\phantom{}87\phantom{999}}\\\phantom{29)}129\\\phantom{29)}\underline{\phantom{}116\phantom{99}}\\\phantom{29)9}139\\\phantom{29)}\underline{\phantom{9}116\phantom{9}}\\\phantom{29)99}237\\\phantom{29)}\underline{\phantom{99}232\phantom{}}\\\phantom{29)9999}5\\\end{array}
Find closest multiple of 29 to 237. We see that 8 \times 29 = 232 is the nearest. Now subtract 232 from 237 to get reminder 5. Add 8 to quotient.
\text{Quotient: }3448 \text{Reminder: }5
Since 5 is less than 29, stop the division. The reminder is 5. The topmost line 03448 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3448.
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}