Evaluate
\frac{873}{2}=436.5
Factor
\frac{3 ^ {2} \cdot 97}{2} = 436\frac{1}{2} = 436.5
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\begin{array}{l}\phantom{10)}\phantom{1}\\10\overline{)4365}\\\end{array}
Use the 1^{st} digit 4 from dividend 4365
\begin{array}{l}\phantom{10)}0\phantom{2}\\10\overline{)4365}\\\end{array}
Since 4 is less than 10, use the next digit 3 from dividend 4365 and add 0 to the quotient
\begin{array}{l}\phantom{10)}0\phantom{3}\\10\overline{)4365}\\\end{array}
Use the 2^{nd} digit 3 from dividend 4365
\begin{array}{l}\phantom{10)}04\phantom{4}\\10\overline{)4365}\\\phantom{10)}\underline{\phantom{}40\phantom{99}}\\\phantom{10)9}3\\\end{array}
Find closest multiple of 10 to 43. We see that 4 \times 10 = 40 is the nearest. Now subtract 40 from 43 to get reminder 3. Add 4 to quotient.
\begin{array}{l}\phantom{10)}04\phantom{5}\\10\overline{)4365}\\\phantom{10)}\underline{\phantom{}40\phantom{99}}\\\phantom{10)9}36\\\end{array}
Use the 3^{rd} digit 6 from dividend 4365
\begin{array}{l}\phantom{10)}043\phantom{6}\\10\overline{)4365}\\\phantom{10)}\underline{\phantom{}40\phantom{99}}\\\phantom{10)9}36\\\phantom{10)}\underline{\phantom{9}30\phantom{9}}\\\phantom{10)99}6\\\end{array}
Find closest multiple of 10 to 36. We see that 3 \times 10 = 30 is the nearest. Now subtract 30 from 36 to get reminder 6. Add 3 to quotient.
\begin{array}{l}\phantom{10)}043\phantom{7}\\10\overline{)4365}\\\phantom{10)}\underline{\phantom{}40\phantom{99}}\\\phantom{10)9}36\\\phantom{10)}\underline{\phantom{9}30\phantom{9}}\\\phantom{10)99}65\\\end{array}
Use the 4^{th} digit 5 from dividend 4365
\begin{array}{l}\phantom{10)}0436\phantom{8}\\10\overline{)4365}\\\phantom{10)}\underline{\phantom{}40\phantom{99}}\\\phantom{10)9}36\\\phantom{10)}\underline{\phantom{9}30\phantom{9}}\\\phantom{10)99}65\\\phantom{10)}\underline{\phantom{99}60\phantom{}}\\\phantom{10)999}5\\\end{array}
Find closest multiple of 10 to 65. We see that 6 \times 10 = 60 is the nearest. Now subtract 60 from 65 to get reminder 5. Add 6 to quotient.
\text{Quotient: }436 \text{Reminder: }5
Since 5 is less than 10, stop the division. The reminder is 5. The topmost line 0436 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 436.
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}