Evaluate
\frac{287}{10}=28.7
Factor
\frac{7 \cdot 41}{2 \cdot 5} = 28\frac{7}{10} = 28.7
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\begin{array}{l}\phantom{50)}\phantom{1}\\50\overline{)1435}\\\end{array}
Use the 1^{st} digit 1 from dividend 1435
\begin{array}{l}\phantom{50)}0\phantom{2}\\50\overline{)1435}\\\end{array}
Since 1 is less than 50, use the next digit 4 from dividend 1435 and add 0 to the quotient
\begin{array}{l}\phantom{50)}0\phantom{3}\\50\overline{)1435}\\\end{array}
Use the 2^{nd} digit 4 from dividend 1435
\begin{array}{l}\phantom{50)}00\phantom{4}\\50\overline{)1435}\\\end{array}
Since 14 is less than 50, use the next digit 3 from dividend 1435 and add 0 to the quotient
\begin{array}{l}\phantom{50)}00\phantom{5}\\50\overline{)1435}\\\end{array}
Use the 3^{rd} digit 3 from dividend 1435
\begin{array}{l}\phantom{50)}002\phantom{6}\\50\overline{)1435}\\\phantom{50)}\underline{\phantom{}100\phantom{9}}\\\phantom{50)9}43\\\end{array}
Find closest multiple of 50 to 143. We see that 2 \times 50 = 100 is the nearest. Now subtract 100 from 143 to get reminder 43. Add 2 to quotient.
\begin{array}{l}\phantom{50)}002\phantom{7}\\50\overline{)1435}\\\phantom{50)}\underline{\phantom{}100\phantom{9}}\\\phantom{50)9}435\\\end{array}
Use the 4^{th} digit 5 from dividend 1435
\begin{array}{l}\phantom{50)}0028\phantom{8}\\50\overline{)1435}\\\phantom{50)}\underline{\phantom{}100\phantom{9}}\\\phantom{50)9}435\\\phantom{50)}\underline{\phantom{9}400\phantom{}}\\\phantom{50)99}35\\\end{array}
Find closest multiple of 50 to 435. We see that 8 \times 50 = 400 is the nearest. Now subtract 400 from 435 to get reminder 35. Add 8 to quotient.
\text{Quotient: }28 \text{Reminder: }35
Since 35 is less than 50, stop the division. The reminder is 35. The topmost line 0028 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 28.
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}