Evaluate
\frac{35}{2}=17.5
Factor
\frac{5 \cdot 7}{2} = 17\frac{1}{2} = 17.5
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\begin{array}{l}\phantom{60)}\phantom{1}\\60\overline{)1050}\\\end{array}
Use the 1^{st} digit 1 from dividend 1050
\begin{array}{l}\phantom{60)}0\phantom{2}\\60\overline{)1050}\\\end{array}
Since 1 is less than 60, use the next digit 0 from dividend 1050 and add 0 to the quotient
\begin{array}{l}\phantom{60)}0\phantom{3}\\60\overline{)1050}\\\end{array}
Use the 2^{nd} digit 0 from dividend 1050
\begin{array}{l}\phantom{60)}00\phantom{4}\\60\overline{)1050}\\\end{array}
Since 10 is less than 60, use the next digit 5 from dividend 1050 and add 0 to the quotient
\begin{array}{l}\phantom{60)}00\phantom{5}\\60\overline{)1050}\\\end{array}
Use the 3^{rd} digit 5 from dividend 1050
\begin{array}{l}\phantom{60)}001\phantom{6}\\60\overline{)1050}\\\phantom{60)}\underline{\phantom{9}60\phantom{9}}\\\phantom{60)9}45\\\end{array}
Find closest multiple of 60 to 105. We see that 1 \times 60 = 60 is the nearest. Now subtract 60 from 105 to get reminder 45. Add 1 to quotient.
\begin{array}{l}\phantom{60)}001\phantom{7}\\60\overline{)1050}\\\phantom{60)}\underline{\phantom{9}60\phantom{9}}\\\phantom{60)9}450\\\end{array}
Use the 4^{th} digit 0 from dividend 1050
\begin{array}{l}\phantom{60)}0017\phantom{8}\\60\overline{)1050}\\\phantom{60)}\underline{\phantom{9}60\phantom{9}}\\\phantom{60)9}450\\\phantom{60)}\underline{\phantom{9}420\phantom{}}\\\phantom{60)99}30\\\end{array}
Find closest multiple of 60 to 450. We see that 7 \times 60 = 420 is the nearest. Now subtract 420 from 450 to get reminder 30. Add 7 to quotient.
\text{Quotient: }17 \text{Reminder: }30
Since 30 is less than 60, stop the division. The reminder is 30. 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}