Evaluate
674
Factor
2\times 337
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\begin{array}{l}\phantom{14)}\phantom{1}\\14\overline{)9436}\\\end{array}
Use the 1^{st} digit 9 from dividend 9436
\begin{array}{l}\phantom{14)}0\phantom{2}\\14\overline{)9436}\\\end{array}
Since 9 is less than 14, use the next digit 4 from dividend 9436 and add 0 to the quotient
\begin{array}{l}\phantom{14)}0\phantom{3}\\14\overline{)9436}\\\end{array}
Use the 2^{nd} digit 4 from dividend 9436
\begin{array}{l}\phantom{14)}06\phantom{4}\\14\overline{)9436}\\\phantom{14)}\underline{\phantom{}84\phantom{99}}\\\phantom{14)}10\\\end{array}
Find closest multiple of 14 to 94. We see that 6 \times 14 = 84 is the nearest. Now subtract 84 from 94 to get reminder 10. Add 6 to quotient.
\begin{array}{l}\phantom{14)}06\phantom{5}\\14\overline{)9436}\\\phantom{14)}\underline{\phantom{}84\phantom{99}}\\\phantom{14)}103\\\end{array}
Use the 3^{rd} digit 3 from dividend 9436
\begin{array}{l}\phantom{14)}067\phantom{6}\\14\overline{)9436}\\\phantom{14)}\underline{\phantom{}84\phantom{99}}\\\phantom{14)}103\\\phantom{14)}\underline{\phantom{9}98\phantom{9}}\\\phantom{14)99}5\\\end{array}
Find closest multiple of 14 to 103. We see that 7 \times 14 = 98 is the nearest. Now subtract 98 from 103 to get reminder 5. Add 7 to quotient.
\begin{array}{l}\phantom{14)}067\phantom{7}\\14\overline{)9436}\\\phantom{14)}\underline{\phantom{}84\phantom{99}}\\\phantom{14)}103\\\phantom{14)}\underline{\phantom{9}98\phantom{9}}\\\phantom{14)99}56\\\end{array}
Use the 4^{th} digit 6 from dividend 9436
\begin{array}{l}\phantom{14)}0674\phantom{8}\\14\overline{)9436}\\\phantom{14)}\underline{\phantom{}84\phantom{99}}\\\phantom{14)}103\\\phantom{14)}\underline{\phantom{9}98\phantom{9}}\\\phantom{14)99}56\\\phantom{14)}\underline{\phantom{99}56\phantom{}}\\\phantom{14)9999}0\\\end{array}
Find closest multiple of 14 to 56. We see that 4 \times 14 = 56 is the nearest. Now subtract 56 from 56 to get reminder 0. Add 4 to quotient.
\text{Quotient: }674 \text{Reminder: }0
Since 0 is less than 14, stop the division. The reminder is 0. The topmost line 0674 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 674.
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}