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{100)}\phantom{1}\\100\overline{)1750}\\\end{array}
Use the 1^{st} digit 1 from dividend 1750
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)1750}\\\end{array}
Since 1 is less than 100, use the next digit 7 from dividend 1750 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)1750}\\\end{array}
Use the 2^{nd} digit 7 from dividend 1750
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)1750}\\\end{array}
Since 17 is less than 100, use the next digit 5 from dividend 1750 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)1750}\\\end{array}
Use the 3^{rd} digit 5 from dividend 1750
\begin{array}{l}\phantom{100)}001\phantom{6}\\100\overline{)1750}\\\phantom{100)}\underline{\phantom{}100\phantom{9}}\\\phantom{100)9}75\\\end{array}
Find closest multiple of 100 to 175. We see that 1 \times 100 = 100 is the nearest. Now subtract 100 from 175 to get reminder 75. Add 1 to quotient.
\begin{array}{l}\phantom{100)}001\phantom{7}\\100\overline{)1750}\\\phantom{100)}\underline{\phantom{}100\phantom{9}}\\\phantom{100)9}750\\\end{array}
Use the 4^{th} digit 0 from dividend 1750
\begin{array}{l}\phantom{100)}0017\phantom{8}\\100\overline{)1750}\\\phantom{100)}\underline{\phantom{}100\phantom{9}}\\\phantom{100)9}750\\\phantom{100)}\underline{\phantom{9}700\phantom{}}\\\phantom{100)99}50\\\end{array}
Find closest multiple of 100 to 750. We see that 7 \times 100 = 700 is the nearest. Now subtract 700 from 750 to get reminder 50. Add 7 to quotient.
\text{Quotient: }17 \text{Reminder: }50
Since 50 is less than 100, stop the division. The reminder is 50. 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}