Evaluate
297
Factor
3^{3}\times 11
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\begin{array}{l}\phantom{11)}\phantom{1}\\11\overline{)3267}\\\end{array}
Use the 1^{st} digit 3 from dividend 3267
\begin{array}{l}\phantom{11)}0\phantom{2}\\11\overline{)3267}\\\end{array}
Since 3 is less than 11, use the next digit 2 from dividend 3267 and add 0 to the quotient
\begin{array}{l}\phantom{11)}0\phantom{3}\\11\overline{)3267}\\\end{array}
Use the 2^{nd} digit 2 from dividend 3267
\begin{array}{l}\phantom{11)}02\phantom{4}\\11\overline{)3267}\\\phantom{11)}\underline{\phantom{}22\phantom{99}}\\\phantom{11)}10\\\end{array}
Find closest multiple of 11 to 32. We see that 2 \times 11 = 22 is the nearest. Now subtract 22 from 32 to get reminder 10. Add 2 to quotient.
\begin{array}{l}\phantom{11)}02\phantom{5}\\11\overline{)3267}\\\phantom{11)}\underline{\phantom{}22\phantom{99}}\\\phantom{11)}106\\\end{array}
Use the 3^{rd} digit 6 from dividend 3267
\begin{array}{l}\phantom{11)}029\phantom{6}\\11\overline{)3267}\\\phantom{11)}\underline{\phantom{}22\phantom{99}}\\\phantom{11)}106\\\phantom{11)}\underline{\phantom{9}99\phantom{9}}\\\phantom{11)99}7\\\end{array}
Find closest multiple of 11 to 106. We see that 9 \times 11 = 99 is the nearest. Now subtract 99 from 106 to get reminder 7. Add 9 to quotient.
\begin{array}{l}\phantom{11)}029\phantom{7}\\11\overline{)3267}\\\phantom{11)}\underline{\phantom{}22\phantom{99}}\\\phantom{11)}106\\\phantom{11)}\underline{\phantom{9}99\phantom{9}}\\\phantom{11)99}77\\\end{array}
Use the 4^{th} digit 7 from dividend 3267
\begin{array}{l}\phantom{11)}0297\phantom{8}\\11\overline{)3267}\\\phantom{11)}\underline{\phantom{}22\phantom{99}}\\\phantom{11)}106\\\phantom{11)}\underline{\phantom{9}99\phantom{9}}\\\phantom{11)99}77\\\phantom{11)}\underline{\phantom{99}77\phantom{}}\\\phantom{11)9999}0\\\end{array}
Find closest multiple of 11 to 77. We see that 7 \times 11 = 77 is the nearest. Now subtract 77 from 77 to get reminder 0. Add 7 to quotient.
\text{Quotient: }297 \text{Reminder: }0
Since 0 is less than 11, stop the division. The reminder is 0. The topmost line 0297 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 297.
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}