Evaluate
35
Factor
5\times 7
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\begin{array}{l}\phantom{26)}\phantom{1}\\26\overline{)910}\\\end{array}
Use the 1^{st} digit 9 from dividend 910
\begin{array}{l}\phantom{26)}0\phantom{2}\\26\overline{)910}\\\end{array}
Since 9 is less than 26, use the next digit 1 from dividend 910 and add 0 to the quotient
\begin{array}{l}\phantom{26)}0\phantom{3}\\26\overline{)910}\\\end{array}
Use the 2^{nd} digit 1 from dividend 910
\begin{array}{l}\phantom{26)}03\phantom{4}\\26\overline{)910}\\\phantom{26)}\underline{\phantom{}78\phantom{9}}\\\phantom{26)}13\\\end{array}
Find closest multiple of 26 to 91. We see that 3 \times 26 = 78 is the nearest. Now subtract 78 from 91 to get reminder 13. Add 3 to quotient.
\begin{array}{l}\phantom{26)}03\phantom{5}\\26\overline{)910}\\\phantom{26)}\underline{\phantom{}78\phantom{9}}\\\phantom{26)}130\\\end{array}
Use the 3^{rd} digit 0 from dividend 910
\begin{array}{l}\phantom{26)}035\phantom{6}\\26\overline{)910}\\\phantom{26)}\underline{\phantom{}78\phantom{9}}\\\phantom{26)}130\\\phantom{26)}\underline{\phantom{}130\phantom{}}\\\phantom{26)999}0\\\end{array}
Find closest multiple of 26 to 130. We see that 5 \times 26 = 130 is the nearest. Now subtract 130 from 130 to get reminder 0. Add 5 to quotient.
\text{Quotient: }35 \text{Reminder: }0
Since 0 is less than 26, stop the division. The reminder is 0. The topmost line 035 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 35.
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}