Evaluate
11
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11
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\begin{array}{l}\phantom{64)}\phantom{1}\\64\overline{)704}\\\end{array}
Use the 1^{st} digit 7 from dividend 704
\begin{array}{l}\phantom{64)}0\phantom{2}\\64\overline{)704}\\\end{array}
Since 7 is less than 64, use the next digit 0 from dividend 704 and add 0 to the quotient
\begin{array}{l}\phantom{64)}0\phantom{3}\\64\overline{)704}\\\end{array}
Use the 2^{nd} digit 0 from dividend 704
\begin{array}{l}\phantom{64)}01\phantom{4}\\64\overline{)704}\\\phantom{64)}\underline{\phantom{}64\phantom{9}}\\\phantom{64)9}6\\\end{array}
Find closest multiple of 64 to 70. We see that 1 \times 64 = 64 is the nearest. Now subtract 64 from 70 to get reminder 6. Add 1 to quotient.
\begin{array}{l}\phantom{64)}01\phantom{5}\\64\overline{)704}\\\phantom{64)}\underline{\phantom{}64\phantom{9}}\\\phantom{64)9}64\\\end{array}
Use the 3^{rd} digit 4 from dividend 704
\begin{array}{l}\phantom{64)}011\phantom{6}\\64\overline{)704}\\\phantom{64)}\underline{\phantom{}64\phantom{9}}\\\phantom{64)9}64\\\phantom{64)}\underline{\phantom{9}64\phantom{}}\\\phantom{64)999}0\\\end{array}
Find closest multiple of 64 to 64. We see that 1 \times 64 = 64 is the nearest. Now subtract 64 from 64 to get reminder 0. Add 1 to quotient.
\text{Quotient: }11 \text{Reminder: }0
Since 0 is less than 64, stop the division. The reminder is 0. The topmost line 011 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 11.
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}