Evaluate
26
Factor
2\times 13
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\begin{array}{l}\phantom{29)}\phantom{1}\\29\overline{)754}\\\end{array}
Use the 1^{st} digit 7 from dividend 754
\begin{array}{l}\phantom{29)}0\phantom{2}\\29\overline{)754}\\\end{array}
Since 7 is less than 29, use the next digit 5 from dividend 754 and add 0 to the quotient
\begin{array}{l}\phantom{29)}0\phantom{3}\\29\overline{)754}\\\end{array}
Use the 2^{nd} digit 5 from dividend 754
\begin{array}{l}\phantom{29)}02\phantom{4}\\29\overline{)754}\\\phantom{29)}\underline{\phantom{}58\phantom{9}}\\\phantom{29)}17\\\end{array}
Find closest multiple of 29 to 75. We see that 2 \times 29 = 58 is the nearest. Now subtract 58 from 75 to get reminder 17. Add 2 to quotient.
\begin{array}{l}\phantom{29)}02\phantom{5}\\29\overline{)754}\\\phantom{29)}\underline{\phantom{}58\phantom{9}}\\\phantom{29)}174\\\end{array}
Use the 3^{rd} digit 4 from dividend 754
\begin{array}{l}\phantom{29)}026\phantom{6}\\29\overline{)754}\\\phantom{29)}\underline{\phantom{}58\phantom{9}}\\\phantom{29)}174\\\phantom{29)}\underline{\phantom{}174\phantom{}}\\\phantom{29)999}0\\\end{array}
Find closest multiple of 29 to 174. We see that 6 \times 29 = 174 is the nearest. Now subtract 174 from 174 to get reminder 0. Add 6 to quotient.
\text{Quotient: }26 \text{Reminder: }0
Since 0 is less than 29, stop the division. The reminder is 0. The topmost line 026 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 26.
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}