Evaluate
\frac{1799}{50}=35.98
Factor
\frac{7 \cdot 257}{2 \cdot 5 ^ {2}} = 35\frac{49}{50} = 35.98
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\begin{array}{l}\phantom{50)}\phantom{1}\\50\overline{)1799}\\\end{array}
Use the 1^{st} digit 1 from dividend 1799
\begin{array}{l}\phantom{50)}0\phantom{2}\\50\overline{)1799}\\\end{array}
Since 1 is less than 50, use the next digit 7 from dividend 1799 and add 0 to the quotient
\begin{array}{l}\phantom{50)}0\phantom{3}\\50\overline{)1799}\\\end{array}
Use the 2^{nd} digit 7 from dividend 1799
\begin{array}{l}\phantom{50)}00\phantom{4}\\50\overline{)1799}\\\end{array}
Since 17 is less than 50, use the next digit 9 from dividend 1799 and add 0 to the quotient
\begin{array}{l}\phantom{50)}00\phantom{5}\\50\overline{)1799}\\\end{array}
Use the 3^{rd} digit 9 from dividend 1799
\begin{array}{l}\phantom{50)}003\phantom{6}\\50\overline{)1799}\\\phantom{50)}\underline{\phantom{}150\phantom{9}}\\\phantom{50)9}29\\\end{array}
Find closest multiple of 50 to 179. We see that 3 \times 50 = 150 is the nearest. Now subtract 150 from 179 to get reminder 29. Add 3 to quotient.
\begin{array}{l}\phantom{50)}003\phantom{7}\\50\overline{)1799}\\\phantom{50)}\underline{\phantom{}150\phantom{9}}\\\phantom{50)9}299\\\end{array}
Use the 4^{th} digit 9 from dividend 1799
\begin{array}{l}\phantom{50)}0035\phantom{8}\\50\overline{)1799}\\\phantom{50)}\underline{\phantom{}150\phantom{9}}\\\phantom{50)9}299\\\phantom{50)}\underline{\phantom{9}250\phantom{}}\\\phantom{50)99}49\\\end{array}
Find closest multiple of 50 to 299. We see that 5 \times 50 = 250 is the nearest. Now subtract 250 from 299 to get reminder 49. Add 5 to quotient.
\text{Quotient: }35 \text{Reminder: }49
Since 49 is less than 50, stop the division. The reminder is 49. The topmost line 0035 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 35.
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}