Evaluate
\frac{4750}{11}\approx 431.818181818
Factor
\frac{2 \cdot 5 ^ {3} \cdot 19}{11} = 431\frac{9}{11} = 431.8181818181818
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\begin{array}{l}\phantom{220)}\phantom{1}\\220\overline{)95000}\\\end{array}
Use the 1^{st} digit 9 from dividend 95000
\begin{array}{l}\phantom{220)}0\phantom{2}\\220\overline{)95000}\\\end{array}
Since 9 is less than 220, use the next digit 5 from dividend 95000 and add 0 to the quotient
\begin{array}{l}\phantom{220)}0\phantom{3}\\220\overline{)95000}\\\end{array}
Use the 2^{nd} digit 5 from dividend 95000
\begin{array}{l}\phantom{220)}00\phantom{4}\\220\overline{)95000}\\\end{array}
Since 95 is less than 220, use the next digit 0 from dividend 95000 and add 0 to the quotient
\begin{array}{l}\phantom{220)}00\phantom{5}\\220\overline{)95000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 95000
\begin{array}{l}\phantom{220)}004\phantom{6}\\220\overline{)95000}\\\phantom{220)}\underline{\phantom{}880\phantom{99}}\\\phantom{220)9}70\\\end{array}
Find closest multiple of 220 to 950. We see that 4 \times 220 = 880 is the nearest. Now subtract 880 from 950 to get reminder 70. Add 4 to quotient.
\begin{array}{l}\phantom{220)}004\phantom{7}\\220\overline{)95000}\\\phantom{220)}\underline{\phantom{}880\phantom{99}}\\\phantom{220)9}700\\\end{array}
Use the 4^{th} digit 0 from dividend 95000
\begin{array}{l}\phantom{220)}0043\phantom{8}\\220\overline{)95000}\\\phantom{220)}\underline{\phantom{}880\phantom{99}}\\\phantom{220)9}700\\\phantom{220)}\underline{\phantom{9}660\phantom{9}}\\\phantom{220)99}40\\\end{array}
Find closest multiple of 220 to 700. We see that 3 \times 220 = 660 is the nearest. Now subtract 660 from 700 to get reminder 40. Add 3 to quotient.
\begin{array}{l}\phantom{220)}0043\phantom{9}\\220\overline{)95000}\\\phantom{220)}\underline{\phantom{}880\phantom{99}}\\\phantom{220)9}700\\\phantom{220)}\underline{\phantom{9}660\phantom{9}}\\\phantom{220)99}400\\\end{array}
Use the 5^{th} digit 0 from dividend 95000
\begin{array}{l}\phantom{220)}00431\phantom{10}\\220\overline{)95000}\\\phantom{220)}\underline{\phantom{}880\phantom{99}}\\\phantom{220)9}700\\\phantom{220)}\underline{\phantom{9}660\phantom{9}}\\\phantom{220)99}400\\\phantom{220)}\underline{\phantom{99}220\phantom{}}\\\phantom{220)99}180\\\end{array}
Find closest multiple of 220 to 400. We see that 1 \times 220 = 220 is the nearest. Now subtract 220 from 400 to get reminder 180. Add 1 to quotient.
\text{Quotient: }431 \text{Reminder: }180
Since 180 is less than 220, stop the division. The reminder is 180. The topmost line 00431 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 431.
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}