Evaluate
\frac{2884}{15}\approx 192.266666667
Factor
\frac{2 ^ {2} \cdot 7 \cdot 103}{3 \cdot 5} = 192\frac{4}{15} = 192.26666666666668
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\begin{array}{l}\phantom{15)}\phantom{1}\\15\overline{)2884}\\\end{array}
Use the 1^{st} digit 2 from dividend 2884
\begin{array}{l}\phantom{15)}0\phantom{2}\\15\overline{)2884}\\\end{array}
Since 2 is less than 15, use the next digit 8 from dividend 2884 and add 0 to the quotient
\begin{array}{l}\phantom{15)}0\phantom{3}\\15\overline{)2884}\\\end{array}
Use the 2^{nd} digit 8 from dividend 2884
\begin{array}{l}\phantom{15)}01\phantom{4}\\15\overline{)2884}\\\phantom{15)}\underline{\phantom{}15\phantom{99}}\\\phantom{15)}13\\\end{array}
Find closest multiple of 15 to 28. We see that 1 \times 15 = 15 is the nearest. Now subtract 15 from 28 to get reminder 13. Add 1 to quotient.
\begin{array}{l}\phantom{15)}01\phantom{5}\\15\overline{)2884}\\\phantom{15)}\underline{\phantom{}15\phantom{99}}\\\phantom{15)}138\\\end{array}
Use the 3^{rd} digit 8 from dividend 2884
\begin{array}{l}\phantom{15)}019\phantom{6}\\15\overline{)2884}\\\phantom{15)}\underline{\phantom{}15\phantom{99}}\\\phantom{15)}138\\\phantom{15)}\underline{\phantom{}135\phantom{9}}\\\phantom{15)99}3\\\end{array}
Find closest multiple of 15 to 138. We see that 9 \times 15 = 135 is the nearest. Now subtract 135 from 138 to get reminder 3. Add 9 to quotient.
\begin{array}{l}\phantom{15)}019\phantom{7}\\15\overline{)2884}\\\phantom{15)}\underline{\phantom{}15\phantom{99}}\\\phantom{15)}138\\\phantom{15)}\underline{\phantom{}135\phantom{9}}\\\phantom{15)99}34\\\end{array}
Use the 4^{th} digit 4 from dividend 2884
\begin{array}{l}\phantom{15)}0192\phantom{8}\\15\overline{)2884}\\\phantom{15)}\underline{\phantom{}15\phantom{99}}\\\phantom{15)}138\\\phantom{15)}\underline{\phantom{}135\phantom{9}}\\\phantom{15)99}34\\\phantom{15)}\underline{\phantom{99}30\phantom{}}\\\phantom{15)999}4\\\end{array}
Find closest multiple of 15 to 34. We see that 2 \times 15 = 30 is the nearest. Now subtract 30 from 34 to get reminder 4. Add 2 to quotient.
\text{Quotient: }192 \text{Reminder: }4
Since 4 is less than 15, stop the division. The reminder is 4. The topmost line 0192 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 192.
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}