Evaluate
88
Factor
2^{3}\times 11
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\begin{array}{l}\phantom{98)}\phantom{1}\\98\overline{)8624}\\\end{array}
Use the 1^{st} digit 8 from dividend 8624
\begin{array}{l}\phantom{98)}0\phantom{2}\\98\overline{)8624}\\\end{array}
Since 8 is less than 98, use the next digit 6 from dividend 8624 and add 0 to the quotient
\begin{array}{l}\phantom{98)}0\phantom{3}\\98\overline{)8624}\\\end{array}
Use the 2^{nd} digit 6 from dividend 8624
\begin{array}{l}\phantom{98)}00\phantom{4}\\98\overline{)8624}\\\end{array}
Since 86 is less than 98, use the next digit 2 from dividend 8624 and add 0 to the quotient
\begin{array}{l}\phantom{98)}00\phantom{5}\\98\overline{)8624}\\\end{array}
Use the 3^{rd} digit 2 from dividend 8624
\begin{array}{l}\phantom{98)}008\phantom{6}\\98\overline{)8624}\\\phantom{98)}\underline{\phantom{}784\phantom{9}}\\\phantom{98)9}78\\\end{array}
Find closest multiple of 98 to 862. We see that 8 \times 98 = 784 is the nearest. Now subtract 784 from 862 to get reminder 78. Add 8 to quotient.
\begin{array}{l}\phantom{98)}008\phantom{7}\\98\overline{)8624}\\\phantom{98)}\underline{\phantom{}784\phantom{9}}\\\phantom{98)9}784\\\end{array}
Use the 4^{th} digit 4 from dividend 8624
\begin{array}{l}\phantom{98)}0088\phantom{8}\\98\overline{)8624}\\\phantom{98)}\underline{\phantom{}784\phantom{9}}\\\phantom{98)9}784\\\phantom{98)}\underline{\phantom{9}784\phantom{}}\\\phantom{98)9999}0\\\end{array}
Find closest multiple of 98 to 784. We see that 8 \times 98 = 784 is the nearest. Now subtract 784 from 784 to get reminder 0. Add 8 to quotient.
\text{Quotient: }88 \text{Reminder: }0
Since 0 is less than 98, stop the division. The reminder is 0. The topmost line 0088 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 88.
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}