Evaluate
\frac{587}{3}\approx 195.666666667
Factor
\frac{587}{3} = 195\frac{2}{3} = 195.66666666666666
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\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)2348}\\\end{array}
Use the 1^{st} digit 2 from dividend 2348
\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)2348}\\\end{array}
Since 2 is less than 12, use the next digit 3 from dividend 2348 and add 0 to the quotient
\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)2348}\\\end{array}
Use the 2^{nd} digit 3 from dividend 2348
\begin{array}{l}\phantom{12)}01\phantom{4}\\12\overline{)2348}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)}11\\\end{array}
Find closest multiple of 12 to 23. We see that 1 \times 12 = 12 is the nearest. Now subtract 12 from 23 to get reminder 11. Add 1 to quotient.
\begin{array}{l}\phantom{12)}01\phantom{5}\\12\overline{)2348}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)}114\\\end{array}
Use the 3^{rd} digit 4 from dividend 2348
\begin{array}{l}\phantom{12)}019\phantom{6}\\12\overline{)2348}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)}114\\\phantom{12)}\underline{\phantom{}108\phantom{9}}\\\phantom{12)99}6\\\end{array}
Find closest multiple of 12 to 114. We see that 9 \times 12 = 108 is the nearest. Now subtract 108 from 114 to get reminder 6. Add 9 to quotient.
\begin{array}{l}\phantom{12)}019\phantom{7}\\12\overline{)2348}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)}114\\\phantom{12)}\underline{\phantom{}108\phantom{9}}\\\phantom{12)99}68\\\end{array}
Use the 4^{th} digit 8 from dividend 2348
\begin{array}{l}\phantom{12)}0195\phantom{8}\\12\overline{)2348}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)}114\\\phantom{12)}\underline{\phantom{}108\phantom{9}}\\\phantom{12)99}68\\\phantom{12)}\underline{\phantom{99}60\phantom{}}\\\phantom{12)999}8\\\end{array}
Find closest multiple of 12 to 68. We see that 5 \times 12 = 60 is the nearest. Now subtract 60 from 68 to get reminder 8. Add 5 to quotient.
\text{Quotient: }195 \text{Reminder: }8
Since 8 is less than 12, stop the division. The reminder is 8. The topmost line 0195 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 195.
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}