Evaluate
\frac{1427}{5}=285.4
Factor
\frac{1427}{5} = 285\frac{2}{5} = 285.4
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\begin{array}{l}\phantom{10)}\phantom{1}\\10\overline{)2854}\\\end{array}
Use the 1^{st} digit 2 from dividend 2854
\begin{array}{l}\phantom{10)}0\phantom{2}\\10\overline{)2854}\\\end{array}
Since 2 is less than 10, use the next digit 8 from dividend 2854 and add 0 to the quotient
\begin{array}{l}\phantom{10)}0\phantom{3}\\10\overline{)2854}\\\end{array}
Use the 2^{nd} digit 8 from dividend 2854
\begin{array}{l}\phantom{10)}02\phantom{4}\\10\overline{)2854}\\\phantom{10)}\underline{\phantom{}20\phantom{99}}\\\phantom{10)9}8\\\end{array}
Find closest multiple of 10 to 28. We see that 2 \times 10 = 20 is the nearest. Now subtract 20 from 28 to get reminder 8. Add 2 to quotient.
\begin{array}{l}\phantom{10)}02\phantom{5}\\10\overline{)2854}\\\phantom{10)}\underline{\phantom{}20\phantom{99}}\\\phantom{10)9}85\\\end{array}
Use the 3^{rd} digit 5 from dividend 2854
\begin{array}{l}\phantom{10)}028\phantom{6}\\10\overline{)2854}\\\phantom{10)}\underline{\phantom{}20\phantom{99}}\\\phantom{10)9}85\\\phantom{10)}\underline{\phantom{9}80\phantom{9}}\\\phantom{10)99}5\\\end{array}
Find closest multiple of 10 to 85. We see that 8 \times 10 = 80 is the nearest. Now subtract 80 from 85 to get reminder 5. Add 8 to quotient.
\begin{array}{l}\phantom{10)}028\phantom{7}\\10\overline{)2854}\\\phantom{10)}\underline{\phantom{}20\phantom{99}}\\\phantom{10)9}85\\\phantom{10)}\underline{\phantom{9}80\phantom{9}}\\\phantom{10)99}54\\\end{array}
Use the 4^{th} digit 4 from dividend 2854
\begin{array}{l}\phantom{10)}0285\phantom{8}\\10\overline{)2854}\\\phantom{10)}\underline{\phantom{}20\phantom{99}}\\\phantom{10)9}85\\\phantom{10)}\underline{\phantom{9}80\phantom{9}}\\\phantom{10)99}54\\\phantom{10)}\underline{\phantom{99}50\phantom{}}\\\phantom{10)999}4\\\end{array}
Find closest multiple of 10 to 54. We see that 5 \times 10 = 50 is the nearest. Now subtract 50 from 54 to get reminder 4. Add 5 to quotient.
\text{Quotient: }285 \text{Reminder: }4
Since 4 is less than 10, stop the division. The reminder is 4. The topmost line 0285 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 285.
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}