Evaluate
86
Factor
2\times 43
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\begin{array}{l}\phantom{34)}\phantom{1}\\34\overline{)2924}\\\end{array}
Use the 1^{st} digit 2 from dividend 2924
\begin{array}{l}\phantom{34)}0\phantom{2}\\34\overline{)2924}\\\end{array}
Since 2 is less than 34, use the next digit 9 from dividend 2924 and add 0 to the quotient
\begin{array}{l}\phantom{34)}0\phantom{3}\\34\overline{)2924}\\\end{array}
Use the 2^{nd} digit 9 from dividend 2924
\begin{array}{l}\phantom{34)}00\phantom{4}\\34\overline{)2924}\\\end{array}
Since 29 is less than 34, use the next digit 2 from dividend 2924 and add 0 to the quotient
\begin{array}{l}\phantom{34)}00\phantom{5}\\34\overline{)2924}\\\end{array}
Use the 3^{rd} digit 2 from dividend 2924
\begin{array}{l}\phantom{34)}008\phantom{6}\\34\overline{)2924}\\\phantom{34)}\underline{\phantom{}272\phantom{9}}\\\phantom{34)9}20\\\end{array}
Find closest multiple of 34 to 292. We see that 8 \times 34 = 272 is the nearest. Now subtract 272 from 292 to get reminder 20. Add 8 to quotient.
\begin{array}{l}\phantom{34)}008\phantom{7}\\34\overline{)2924}\\\phantom{34)}\underline{\phantom{}272\phantom{9}}\\\phantom{34)9}204\\\end{array}
Use the 4^{th} digit 4 from dividend 2924
\begin{array}{l}\phantom{34)}0086\phantom{8}\\34\overline{)2924}\\\phantom{34)}\underline{\phantom{}272\phantom{9}}\\\phantom{34)9}204\\\phantom{34)}\underline{\phantom{9}204\phantom{}}\\\phantom{34)9999}0\\\end{array}
Find closest multiple of 34 to 204. We see that 6 \times 34 = 204 is the nearest. Now subtract 204 from 204 to get reminder 0. Add 6 to quotient.
\text{Quotient: }86 \text{Reminder: }0
Since 0 is less than 34, stop the division. The reminder is 0. The topmost line 0086 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 86.
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}