Evaluate
89
Factor
89
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\begin{array}{l}\phantom{34)}\phantom{1}\\34\overline{)3026}\\\end{array}
Use the 1^{st} digit 3 from dividend 3026
\begin{array}{l}\phantom{34)}0\phantom{2}\\34\overline{)3026}\\\end{array}
Since 3 is less than 34, use the next digit 0 from dividend 3026 and add 0 to the quotient
\begin{array}{l}\phantom{34)}0\phantom{3}\\34\overline{)3026}\\\end{array}
Use the 2^{nd} digit 0 from dividend 3026
\begin{array}{l}\phantom{34)}00\phantom{4}\\34\overline{)3026}\\\end{array}
Since 30 is less than 34, use the next digit 2 from dividend 3026 and add 0 to the quotient
\begin{array}{l}\phantom{34)}00\phantom{5}\\34\overline{)3026}\\\end{array}
Use the 3^{rd} digit 2 from dividend 3026
\begin{array}{l}\phantom{34)}008\phantom{6}\\34\overline{)3026}\\\phantom{34)}\underline{\phantom{}272\phantom{9}}\\\phantom{34)9}30\\\end{array}
Find closest multiple of 34 to 302. We see that 8 \times 34 = 272 is the nearest. Now subtract 272 from 302 to get reminder 30. Add 8 to quotient.
\begin{array}{l}\phantom{34)}008\phantom{7}\\34\overline{)3026}\\\phantom{34)}\underline{\phantom{}272\phantom{9}}\\\phantom{34)9}306\\\end{array}
Use the 4^{th} digit 6 from dividend 3026
\begin{array}{l}\phantom{34)}0089\phantom{8}\\34\overline{)3026}\\\phantom{34)}\underline{\phantom{}272\phantom{9}}\\\phantom{34)9}306\\\phantom{34)}\underline{\phantom{9}306\phantom{}}\\\phantom{34)9999}0\\\end{array}
Find closest multiple of 34 to 306. We see that 9 \times 34 = 306 is the nearest. Now subtract 306 from 306 to get reminder 0. Add 9 to quotient.
\text{Quotient: }89 \text{Reminder: }0
Since 0 is less than 34, stop the division. The reminder is 0. The topmost line 0089 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 89.
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}