875 \%
Evaluate
\frac{35}{4}=8.75
Factor
\frac{5 \cdot 7}{2 ^ {2}} = 8\frac{3}{4} = 8.75
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\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)875}\\\end{array}
Use the 1^{st} digit 8 from dividend 875
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)875}\\\end{array}
Since 8 is less than 100, use the next digit 7 from dividend 875 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)875}\\\end{array}
Use the 2^{nd} digit 7 from dividend 875
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)875}\\\end{array}
Since 87 is less than 100, use the next digit 5 from dividend 875 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)875}\\\end{array}
Use the 3^{rd} digit 5 from dividend 875
\begin{array}{l}\phantom{100)}008\phantom{6}\\100\overline{)875}\\\phantom{100)}\underline{\phantom{}800\phantom{}}\\\phantom{100)9}75\\\end{array}
Find closest multiple of 100 to 875. We see that 8 \times 100 = 800 is the nearest. Now subtract 800 from 875 to get reminder 75. Add 8 to quotient.
\text{Quotient: }8 \text{Reminder: }75
Since 75 is less than 100, stop the division. The reminder is 75. The topmost line 008 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 8.
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}