Evaluate
64
Factor
2^{6}
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\begin{array}{l}\phantom{75)}\phantom{1}\\75\overline{)4800}\\\end{array}
Use the 1^{st} digit 4 from dividend 4800
\begin{array}{l}\phantom{75)}0\phantom{2}\\75\overline{)4800}\\\end{array}
Since 4 is less than 75, use the next digit 8 from dividend 4800 and add 0 to the quotient
\begin{array}{l}\phantom{75)}0\phantom{3}\\75\overline{)4800}\\\end{array}
Use the 2^{nd} digit 8 from dividend 4800
\begin{array}{l}\phantom{75)}00\phantom{4}\\75\overline{)4800}\\\end{array}
Since 48 is less than 75, use the next digit 0 from dividend 4800 and add 0 to the quotient
\begin{array}{l}\phantom{75)}00\phantom{5}\\75\overline{)4800}\\\end{array}
Use the 3^{rd} digit 0 from dividend 4800
\begin{array}{l}\phantom{75)}006\phantom{6}\\75\overline{)4800}\\\phantom{75)}\underline{\phantom{}450\phantom{9}}\\\phantom{75)9}30\\\end{array}
Find closest multiple of 75 to 480. We see that 6 \times 75 = 450 is the nearest. Now subtract 450 from 480 to get reminder 30. Add 6 to quotient.
\begin{array}{l}\phantom{75)}006\phantom{7}\\75\overline{)4800}\\\phantom{75)}\underline{\phantom{}450\phantom{9}}\\\phantom{75)9}300\\\end{array}
Use the 4^{th} digit 0 from dividend 4800
\begin{array}{l}\phantom{75)}0064\phantom{8}\\75\overline{)4800}\\\phantom{75)}\underline{\phantom{}450\phantom{9}}\\\phantom{75)9}300\\\phantom{75)}\underline{\phantom{9}300\phantom{}}\\\phantom{75)9999}0\\\end{array}
Find closest multiple of 75 to 300. We see that 4 \times 75 = 300 is the nearest. Now subtract 300 from 300 to get reminder 0. Add 4 to quotient.
\text{Quotient: }64 \text{Reminder: }0
Since 0 is less than 75, stop the division. The reminder is 0. The topmost line 0064 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 64.
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}