Evaluate
\frac{256}{15}\approx 17.066666667
Factor
\frac{2 ^ {8}}{3 \cdot 5} = 17\frac{1}{15} = 17.066666666666666
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\begin{array}{l}\phantom{60)}\phantom{1}\\60\overline{)1024}\\\end{array}
Use the 1^{st} digit 1 from dividend 1024
\begin{array}{l}\phantom{60)}0\phantom{2}\\60\overline{)1024}\\\end{array}
Since 1 is less than 60, use the next digit 0 from dividend 1024 and add 0 to the quotient
\begin{array}{l}\phantom{60)}0\phantom{3}\\60\overline{)1024}\\\end{array}
Use the 2^{nd} digit 0 from dividend 1024
\begin{array}{l}\phantom{60)}00\phantom{4}\\60\overline{)1024}\\\end{array}
Since 10 is less than 60, use the next digit 2 from dividend 1024 and add 0 to the quotient
\begin{array}{l}\phantom{60)}00\phantom{5}\\60\overline{)1024}\\\end{array}
Use the 3^{rd} digit 2 from dividend 1024
\begin{array}{l}\phantom{60)}001\phantom{6}\\60\overline{)1024}\\\phantom{60)}\underline{\phantom{9}60\phantom{9}}\\\phantom{60)9}42\\\end{array}
Find closest multiple of 60 to 102. We see that 1 \times 60 = 60 is the nearest. Now subtract 60 from 102 to get reminder 42. Add 1 to quotient.
\begin{array}{l}\phantom{60)}001\phantom{7}\\60\overline{)1024}\\\phantom{60)}\underline{\phantom{9}60\phantom{9}}\\\phantom{60)9}424\\\end{array}
Use the 4^{th} digit 4 from dividend 1024
\begin{array}{l}\phantom{60)}0017\phantom{8}\\60\overline{)1024}\\\phantom{60)}\underline{\phantom{9}60\phantom{9}}\\\phantom{60)9}424\\\phantom{60)}\underline{\phantom{9}420\phantom{}}\\\phantom{60)999}4\\\end{array}
Find closest multiple of 60 to 424. We see that 7 \times 60 = 420 is the nearest. Now subtract 420 from 424 to get reminder 4. Add 7 to quotient.
\text{Quotient: }17 \text{Reminder: }4
Since 4 is less than 60, stop the division. The reminder is 4. The topmost line 0017 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 17.
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}