Evaluate
\frac{633333}{3377}\approx 187.543085579
Factor
\frac{3 \cdot 107 \cdot 1973}{11 \cdot 307} = 187\frac{1834}{3377} = 187.5430855789162
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\begin{array}{l}\phantom{3377)}\phantom{1}\\3377\overline{)633333}\\\end{array}
Use the 1^{st} digit 6 from dividend 633333
\begin{array}{l}\phantom{3377)}0\phantom{2}\\3377\overline{)633333}\\\end{array}
Since 6 is less than 3377, use the next digit 3 from dividend 633333 and add 0 to the quotient
\begin{array}{l}\phantom{3377)}0\phantom{3}\\3377\overline{)633333}\\\end{array}
Use the 2^{nd} digit 3 from dividend 633333
\begin{array}{l}\phantom{3377)}00\phantom{4}\\3377\overline{)633333}\\\end{array}
Since 63 is less than 3377, use the next digit 3 from dividend 633333 and add 0 to the quotient
\begin{array}{l}\phantom{3377)}00\phantom{5}\\3377\overline{)633333}\\\end{array}
Use the 3^{rd} digit 3 from dividend 633333
\begin{array}{l}\phantom{3377)}000\phantom{6}\\3377\overline{)633333}\\\end{array}
Since 633 is less than 3377, use the next digit 3 from dividend 633333 and add 0 to the quotient
\begin{array}{l}\phantom{3377)}000\phantom{7}\\3377\overline{)633333}\\\end{array}
Use the 4^{th} digit 3 from dividend 633333
\begin{array}{l}\phantom{3377)}0001\phantom{8}\\3377\overline{)633333}\\\phantom{3377)}\underline{\phantom{}3377\phantom{99}}\\\phantom{3377)}2956\\\end{array}
Find closest multiple of 3377 to 6333. We see that 1 \times 3377 = 3377 is the nearest. Now subtract 3377 from 6333 to get reminder 2956. Add 1 to quotient.
\begin{array}{l}\phantom{3377)}0001\phantom{9}\\3377\overline{)633333}\\\phantom{3377)}\underline{\phantom{}3377\phantom{99}}\\\phantom{3377)}29563\\\end{array}
Use the 5^{th} digit 3 from dividend 633333
\begin{array}{l}\phantom{3377)}00018\phantom{10}\\3377\overline{)633333}\\\phantom{3377)}\underline{\phantom{}3377\phantom{99}}\\\phantom{3377)}29563\\\phantom{3377)}\underline{\phantom{}27016\phantom{9}}\\\phantom{3377)9}2547\\\end{array}
Find closest multiple of 3377 to 29563. We see that 8 \times 3377 = 27016 is the nearest. Now subtract 27016 from 29563 to get reminder 2547. Add 8 to quotient.
\begin{array}{l}\phantom{3377)}00018\phantom{11}\\3377\overline{)633333}\\\phantom{3377)}\underline{\phantom{}3377\phantom{99}}\\\phantom{3377)}29563\\\phantom{3377)}\underline{\phantom{}27016\phantom{9}}\\\phantom{3377)9}25473\\\end{array}
Use the 6^{th} digit 3 from dividend 633333
\begin{array}{l}\phantom{3377)}000187\phantom{12}\\3377\overline{)633333}\\\phantom{3377)}\underline{\phantom{}3377\phantom{99}}\\\phantom{3377)}29563\\\phantom{3377)}\underline{\phantom{}27016\phantom{9}}\\\phantom{3377)9}25473\\\phantom{3377)}\underline{\phantom{9}23639\phantom{}}\\\phantom{3377)99}1834\\\end{array}
Find closest multiple of 3377 to 25473. We see that 7 \times 3377 = 23639 is the nearest. Now subtract 23639 from 25473 to get reminder 1834. Add 7 to quotient.
\text{Quotient: }187 \text{Reminder: }1834
Since 1834 is less than 3377, stop the division. The reminder is 1834. The topmost line 000187 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 187.
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}