Evaluate
\frac{982}{11}\approx 89.272727273
Factor
\frac{2 \cdot 491}{11} = 89\frac{3}{11} = 89.27272727272727
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\begin{array}{l}\phantom{88)}\phantom{1}\\88\overline{)7856}\\\end{array}
Use the 1^{st} digit 7 from dividend 7856
\begin{array}{l}\phantom{88)}0\phantom{2}\\88\overline{)7856}\\\end{array}
Since 7 is less than 88, use the next digit 8 from dividend 7856 and add 0 to the quotient
\begin{array}{l}\phantom{88)}0\phantom{3}\\88\overline{)7856}\\\end{array}
Use the 2^{nd} digit 8 from dividend 7856
\begin{array}{l}\phantom{88)}00\phantom{4}\\88\overline{)7856}\\\end{array}
Since 78 is less than 88, use the next digit 5 from dividend 7856 and add 0 to the quotient
\begin{array}{l}\phantom{88)}00\phantom{5}\\88\overline{)7856}\\\end{array}
Use the 3^{rd} digit 5 from dividend 7856
\begin{array}{l}\phantom{88)}008\phantom{6}\\88\overline{)7856}\\\phantom{88)}\underline{\phantom{}704\phantom{9}}\\\phantom{88)9}81\\\end{array}
Find closest multiple of 88 to 785. We see that 8 \times 88 = 704 is the nearest. Now subtract 704 from 785 to get reminder 81. Add 8 to quotient.
\begin{array}{l}\phantom{88)}008\phantom{7}\\88\overline{)7856}\\\phantom{88)}\underline{\phantom{}704\phantom{9}}\\\phantom{88)9}816\\\end{array}
Use the 4^{th} digit 6 from dividend 7856
\begin{array}{l}\phantom{88)}0089\phantom{8}\\88\overline{)7856}\\\phantom{88)}\underline{\phantom{}704\phantom{9}}\\\phantom{88)9}816\\\phantom{88)}\underline{\phantom{9}792\phantom{}}\\\phantom{88)99}24\\\end{array}
Find closest multiple of 88 to 816. We see that 9 \times 88 = 792 is the nearest. Now subtract 792 from 816 to get reminder 24. Add 9 to quotient.
\text{Quotient: }89 \text{Reminder: }24
Since 24 is less than 88, stop the division. The reminder is 24. The topmost line 0089 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 89.
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}