Evaluate
\frac{2335}{47}\approx 49.680851064
Factor
\frac{5 \cdot 467}{47} = 49\frac{32}{47} = 49.680851063829785
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\begin{array}{l}\phantom{47)}\phantom{1}\\47\overline{)2335}\\\end{array}
Use the 1^{st} digit 2 from dividend 2335
\begin{array}{l}\phantom{47)}0\phantom{2}\\47\overline{)2335}\\\end{array}
Since 2 is less than 47, use the next digit 3 from dividend 2335 and add 0 to the quotient
\begin{array}{l}\phantom{47)}0\phantom{3}\\47\overline{)2335}\\\end{array}
Use the 2^{nd} digit 3 from dividend 2335
\begin{array}{l}\phantom{47)}00\phantom{4}\\47\overline{)2335}\\\end{array}
Since 23 is less than 47, use the next digit 3 from dividend 2335 and add 0 to the quotient
\begin{array}{l}\phantom{47)}00\phantom{5}\\47\overline{)2335}\\\end{array}
Use the 3^{rd} digit 3 from dividend 2335
\begin{array}{l}\phantom{47)}004\phantom{6}\\47\overline{)2335}\\\phantom{47)}\underline{\phantom{}188\phantom{9}}\\\phantom{47)9}45\\\end{array}
Find closest multiple of 47 to 233. We see that 4 \times 47 = 188 is the nearest. Now subtract 188 from 233 to get reminder 45. Add 4 to quotient.
\begin{array}{l}\phantom{47)}004\phantom{7}\\47\overline{)2335}\\\phantom{47)}\underline{\phantom{}188\phantom{9}}\\\phantom{47)9}455\\\end{array}
Use the 4^{th} digit 5 from dividend 2335
\begin{array}{l}\phantom{47)}0049\phantom{8}\\47\overline{)2335}\\\phantom{47)}\underline{\phantom{}188\phantom{9}}\\\phantom{47)9}455\\\phantom{47)}\underline{\phantom{9}423\phantom{}}\\\phantom{47)99}32\\\end{array}
Find closest multiple of 47 to 455. We see that 9 \times 47 = 423 is the nearest. Now subtract 423 from 455 to get reminder 32. Add 9 to quotient.
\text{Quotient: }49 \text{Reminder: }32
Since 32 is less than 47, stop the division. The reminder is 32. The topmost line 0049 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 49.
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}