Evaluate
128
Factor
2^{7}
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\begin{array}{l}\phantom{66)}\phantom{1}\\66\overline{)8448}\\\end{array}
Use the 1^{st} digit 8 from dividend 8448
\begin{array}{l}\phantom{66)}0\phantom{2}\\66\overline{)8448}\\\end{array}
Since 8 is less than 66, use the next digit 4 from dividend 8448 and add 0 to the quotient
\begin{array}{l}\phantom{66)}0\phantom{3}\\66\overline{)8448}\\\end{array}
Use the 2^{nd} digit 4 from dividend 8448
\begin{array}{l}\phantom{66)}01\phantom{4}\\66\overline{)8448}\\\phantom{66)}\underline{\phantom{}66\phantom{99}}\\\phantom{66)}18\\\end{array}
Find closest multiple of 66 to 84. We see that 1 \times 66 = 66 is the nearest. Now subtract 66 from 84 to get reminder 18. Add 1 to quotient.
\begin{array}{l}\phantom{66)}01\phantom{5}\\66\overline{)8448}\\\phantom{66)}\underline{\phantom{}66\phantom{99}}\\\phantom{66)}184\\\end{array}
Use the 3^{rd} digit 4 from dividend 8448
\begin{array}{l}\phantom{66)}012\phantom{6}\\66\overline{)8448}\\\phantom{66)}\underline{\phantom{}66\phantom{99}}\\\phantom{66)}184\\\phantom{66)}\underline{\phantom{}132\phantom{9}}\\\phantom{66)9}52\\\end{array}
Find closest multiple of 66 to 184. We see that 2 \times 66 = 132 is the nearest. Now subtract 132 from 184 to get reminder 52. Add 2 to quotient.
\begin{array}{l}\phantom{66)}012\phantom{7}\\66\overline{)8448}\\\phantom{66)}\underline{\phantom{}66\phantom{99}}\\\phantom{66)}184\\\phantom{66)}\underline{\phantom{}132\phantom{9}}\\\phantom{66)9}528\\\end{array}
Use the 4^{th} digit 8 from dividend 8448
\begin{array}{l}\phantom{66)}0128\phantom{8}\\66\overline{)8448}\\\phantom{66)}\underline{\phantom{}66\phantom{99}}\\\phantom{66)}184\\\phantom{66)}\underline{\phantom{}132\phantom{9}}\\\phantom{66)9}528\\\phantom{66)}\underline{\phantom{9}528\phantom{}}\\\phantom{66)9999}0\\\end{array}
Find closest multiple of 66 to 528. We see that 8 \times 66 = 528 is the nearest. Now subtract 528 from 528 to get reminder 0. Add 8 to quotient.
\text{Quotient: }128 \text{Reminder: }0
Since 0 is less than 66, stop the division. The reminder is 0. The topmost line 0128 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 128.
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}