Evaluate
14
Factor
2\times 7
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\begin{array}{l}\phantom{10)}\phantom{1}\\10\overline{)140}\\\end{array}
Use the 1^{st} digit 1 from dividend 140
\begin{array}{l}\phantom{10)}0\phantom{2}\\10\overline{)140}\\\end{array}
Since 1 is less than 10, use the next digit 4 from dividend 140 and add 0 to the quotient
\begin{array}{l}\phantom{10)}0\phantom{3}\\10\overline{)140}\\\end{array}
Use the 2^{nd} digit 4 from dividend 140
\begin{array}{l}\phantom{10)}01\phantom{4}\\10\overline{)140}\\\phantom{10)}\underline{\phantom{}10\phantom{9}}\\\phantom{10)9}4\\\end{array}
Find closest multiple of 10 to 14. We see that 1 \times 10 = 10 is the nearest. Now subtract 10 from 14 to get reminder 4. Add 1 to quotient.
\begin{array}{l}\phantom{10)}01\phantom{5}\\10\overline{)140}\\\phantom{10)}\underline{\phantom{}10\phantom{9}}\\\phantom{10)9}40\\\end{array}
Use the 3^{rd} digit 0 from dividend 140
\begin{array}{l}\phantom{10)}014\phantom{6}\\10\overline{)140}\\\phantom{10)}\underline{\phantom{}10\phantom{9}}\\\phantom{10)9}40\\\phantom{10)}\underline{\phantom{9}40\phantom{}}\\\phantom{10)999}0\\\end{array}
Find closest multiple of 10 to 40. We see that 4 \times 10 = 40 is the nearest. Now subtract 40 from 40 to get reminder 0. Add 4 to quotient.
\text{Quotient: }14 \text{Reminder: }0
Since 0 is less than 10, stop the division. The reminder is 0. The topmost line 014 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 14.
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}