Evaluate
11
Factor
11
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\begin{array}{l}\phantom{525)}\phantom{1}\\525\overline{)5775}\\\end{array}
Use the 1^{st} digit 5 from dividend 5775
\begin{array}{l}\phantom{525)}0\phantom{2}\\525\overline{)5775}\\\end{array}
Since 5 is less than 525, use the next digit 7 from dividend 5775 and add 0 to the quotient
\begin{array}{l}\phantom{525)}0\phantom{3}\\525\overline{)5775}\\\end{array}
Use the 2^{nd} digit 7 from dividend 5775
\begin{array}{l}\phantom{525)}00\phantom{4}\\525\overline{)5775}\\\end{array}
Since 57 is less than 525, use the next digit 7 from dividend 5775 and add 0 to the quotient
\begin{array}{l}\phantom{525)}00\phantom{5}\\525\overline{)5775}\\\end{array}
Use the 3^{rd} digit 7 from dividend 5775
\begin{array}{l}\phantom{525)}001\phantom{6}\\525\overline{)5775}\\\phantom{525)}\underline{\phantom{}525\phantom{9}}\\\phantom{525)9}52\\\end{array}
Find closest multiple of 525 to 577. We see that 1 \times 525 = 525 is the nearest. Now subtract 525 from 577 to get reminder 52. Add 1 to quotient.
\begin{array}{l}\phantom{525)}001\phantom{7}\\525\overline{)5775}\\\phantom{525)}\underline{\phantom{}525\phantom{9}}\\\phantom{525)9}525\\\end{array}
Use the 4^{th} digit 5 from dividend 5775
\begin{array}{l}\phantom{525)}0011\phantom{8}\\525\overline{)5775}\\\phantom{525)}\underline{\phantom{}525\phantom{9}}\\\phantom{525)9}525\\\phantom{525)}\underline{\phantom{9}525\phantom{}}\\\phantom{525)9999}0\\\end{array}
Find closest multiple of 525 to 525. We see that 1 \times 525 = 525 is the nearest. Now subtract 525 from 525 to get reminder 0. Add 1 to quotient.
\text{Quotient: }11 \text{Reminder: }0
Since 0 is less than 525, stop the division. The reminder is 0. The topmost line 0011 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 11.
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}