Evaluate
74
Factor
2\times 37
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\begin{array}{l}\phantom{35)}\phantom{1}\\35\overline{)2590}\\\end{array}
Use the 1^{st} digit 2 from dividend 2590
\begin{array}{l}\phantom{35)}0\phantom{2}\\35\overline{)2590}\\\end{array}
Since 2 is less than 35, use the next digit 5 from dividend 2590 and add 0 to the quotient
\begin{array}{l}\phantom{35)}0\phantom{3}\\35\overline{)2590}\\\end{array}
Use the 2^{nd} digit 5 from dividend 2590
\begin{array}{l}\phantom{35)}00\phantom{4}\\35\overline{)2590}\\\end{array}
Since 25 is less than 35, use the next digit 9 from dividend 2590 and add 0 to the quotient
\begin{array}{l}\phantom{35)}00\phantom{5}\\35\overline{)2590}\\\end{array}
Use the 3^{rd} digit 9 from dividend 2590
\begin{array}{l}\phantom{35)}007\phantom{6}\\35\overline{)2590}\\\phantom{35)}\underline{\phantom{}245\phantom{9}}\\\phantom{35)9}14\\\end{array}
Find closest multiple of 35 to 259. We see that 7 \times 35 = 245 is the nearest. Now subtract 245 from 259 to get reminder 14. Add 7 to quotient.
\begin{array}{l}\phantom{35)}007\phantom{7}\\35\overline{)2590}\\\phantom{35)}\underline{\phantom{}245\phantom{9}}\\\phantom{35)9}140\\\end{array}
Use the 4^{th} digit 0 from dividend 2590
\begin{array}{l}\phantom{35)}0074\phantom{8}\\35\overline{)2590}\\\phantom{35)}\underline{\phantom{}245\phantom{9}}\\\phantom{35)9}140\\\phantom{35)}\underline{\phantom{9}140\phantom{}}\\\phantom{35)9999}0\\\end{array}
Find closest multiple of 35 to 140. We see that 4 \times 35 = 140 is the nearest. Now subtract 140 from 140 to get reminder 0. Add 4 to quotient.
\text{Quotient: }74 \text{Reminder: }0
Since 0 is less than 35, stop the division. The reminder is 0. The topmost line 0074 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 74.
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}