Evaluate
\frac{73}{3}\approx 24.333333333
Factor
\frac{73}{3} = 24\frac{1}{3} = 24.333333333333332
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\begin{array}{l}\phantom{60)}\phantom{1}\\60\overline{)1460}\\\end{array}
Use the 1^{st} digit 1 from dividend 1460
\begin{array}{l}\phantom{60)}0\phantom{2}\\60\overline{)1460}\\\end{array}
Since 1 is less than 60, use the next digit 4 from dividend 1460 and add 0 to the quotient
\begin{array}{l}\phantom{60)}0\phantom{3}\\60\overline{)1460}\\\end{array}
Use the 2^{nd} digit 4 from dividend 1460
\begin{array}{l}\phantom{60)}00\phantom{4}\\60\overline{)1460}\\\end{array}
Since 14 is less than 60, use the next digit 6 from dividend 1460 and add 0 to the quotient
\begin{array}{l}\phantom{60)}00\phantom{5}\\60\overline{)1460}\\\end{array}
Use the 3^{rd} digit 6 from dividend 1460
\begin{array}{l}\phantom{60)}002\phantom{6}\\60\overline{)1460}\\\phantom{60)}\underline{\phantom{}120\phantom{9}}\\\phantom{60)9}26\\\end{array}
Find closest multiple of 60 to 146. We see that 2 \times 60 = 120 is the nearest. Now subtract 120 from 146 to get reminder 26. Add 2 to quotient.
\begin{array}{l}\phantom{60)}002\phantom{7}\\60\overline{)1460}\\\phantom{60)}\underline{\phantom{}120\phantom{9}}\\\phantom{60)9}260\\\end{array}
Use the 4^{th} digit 0 from dividend 1460
\begin{array}{l}\phantom{60)}0024\phantom{8}\\60\overline{)1460}\\\phantom{60)}\underline{\phantom{}120\phantom{9}}\\\phantom{60)9}260\\\phantom{60)}\underline{\phantom{9}240\phantom{}}\\\phantom{60)99}20\\\end{array}
Find closest multiple of 60 to 260. We see that 4 \times 60 = 240 is the nearest. Now subtract 240 from 260 to get reminder 20. Add 4 to quotient.
\text{Quotient: }24 \text{Reminder: }20
Since 20 is less than 60, stop the division. The reminder is 20. The topmost line 0024 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 24.
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}