Evaluate
\frac{1515}{17}\approx 89.117647059
Factor
\frac{3 \cdot 5 \cdot 101}{17} = 89\frac{2}{17} = 89.11764705882354
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\begin{array}{l}\phantom{17)}\phantom{1}\\17\overline{)1515}\\\end{array}
Use the 1^{st} digit 1 from dividend 1515
\begin{array}{l}\phantom{17)}0\phantom{2}\\17\overline{)1515}\\\end{array}
Since 1 is less than 17, use the next digit 5 from dividend 1515 and add 0 to the quotient
\begin{array}{l}\phantom{17)}0\phantom{3}\\17\overline{)1515}\\\end{array}
Use the 2^{nd} digit 5 from dividend 1515
\begin{array}{l}\phantom{17)}00\phantom{4}\\17\overline{)1515}\\\end{array}
Since 15 is less than 17, use the next digit 1 from dividend 1515 and add 0 to the quotient
\begin{array}{l}\phantom{17)}00\phantom{5}\\17\overline{)1515}\\\end{array}
Use the 3^{rd} digit 1 from dividend 1515
\begin{array}{l}\phantom{17)}008\phantom{6}\\17\overline{)1515}\\\phantom{17)}\underline{\phantom{}136\phantom{9}}\\\phantom{17)9}15\\\end{array}
Find closest multiple of 17 to 151. We see that 8 \times 17 = 136 is the nearest. Now subtract 136 from 151 to get reminder 15. Add 8 to quotient.
\begin{array}{l}\phantom{17)}008\phantom{7}\\17\overline{)1515}\\\phantom{17)}\underline{\phantom{}136\phantom{9}}\\\phantom{17)9}155\\\end{array}
Use the 4^{th} digit 5 from dividend 1515
\begin{array}{l}\phantom{17)}0089\phantom{8}\\17\overline{)1515}\\\phantom{17)}\underline{\phantom{}136\phantom{9}}\\\phantom{17)9}155\\\phantom{17)}\underline{\phantom{9}153\phantom{}}\\\phantom{17)999}2\\\end{array}
Find closest multiple of 17 to 155. We see that 9 \times 17 = 153 is the nearest. Now subtract 153 from 155 to get reminder 2. Add 9 to quotient.
\text{Quotient: }89 \text{Reminder: }2
Since 2 is less than 17, stop the division. The reminder is 2. The topmost line 0089 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 89.
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}