Evaluate
\frac{42495}{191}\approx 222.486910995
Factor
\frac{3 \cdot 5 \cdot 2833}{191} = 222\frac{93}{191} = 222.4869109947644
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\begin{array}{l}\phantom{191)}\phantom{1}\\191\overline{)42495}\\\end{array}
Use the 1^{st} digit 4 from dividend 42495
\begin{array}{l}\phantom{191)}0\phantom{2}\\191\overline{)42495}\\\end{array}
Since 4 is less than 191, use the next digit 2 from dividend 42495 and add 0 to the quotient
\begin{array}{l}\phantom{191)}0\phantom{3}\\191\overline{)42495}\\\end{array}
Use the 2^{nd} digit 2 from dividend 42495
\begin{array}{l}\phantom{191)}00\phantom{4}\\191\overline{)42495}\\\end{array}
Since 42 is less than 191, use the next digit 4 from dividend 42495 and add 0 to the quotient
\begin{array}{l}\phantom{191)}00\phantom{5}\\191\overline{)42495}\\\end{array}
Use the 3^{rd} digit 4 from dividend 42495
\begin{array}{l}\phantom{191)}002\phantom{6}\\191\overline{)42495}\\\phantom{191)}\underline{\phantom{}382\phantom{99}}\\\phantom{191)9}42\\\end{array}
Find closest multiple of 191 to 424. We see that 2 \times 191 = 382 is the nearest. Now subtract 382 from 424 to get reminder 42. Add 2 to quotient.
\begin{array}{l}\phantom{191)}002\phantom{7}\\191\overline{)42495}\\\phantom{191)}\underline{\phantom{}382\phantom{99}}\\\phantom{191)9}429\\\end{array}
Use the 4^{th} digit 9 from dividend 42495
\begin{array}{l}\phantom{191)}0022\phantom{8}\\191\overline{)42495}\\\phantom{191)}\underline{\phantom{}382\phantom{99}}\\\phantom{191)9}429\\\phantom{191)}\underline{\phantom{9}382\phantom{9}}\\\phantom{191)99}47\\\end{array}
Find closest multiple of 191 to 429. We see that 2 \times 191 = 382 is the nearest. Now subtract 382 from 429 to get reminder 47. Add 2 to quotient.
\begin{array}{l}\phantom{191)}0022\phantom{9}\\191\overline{)42495}\\\phantom{191)}\underline{\phantom{}382\phantom{99}}\\\phantom{191)9}429\\\phantom{191)}\underline{\phantom{9}382\phantom{9}}\\\phantom{191)99}475\\\end{array}
Use the 5^{th} digit 5 from dividend 42495
\begin{array}{l}\phantom{191)}00222\phantom{10}\\191\overline{)42495}\\\phantom{191)}\underline{\phantom{}382\phantom{99}}\\\phantom{191)9}429\\\phantom{191)}\underline{\phantom{9}382\phantom{9}}\\\phantom{191)99}475\\\phantom{191)}\underline{\phantom{99}382\phantom{}}\\\phantom{191)999}93\\\end{array}
Find closest multiple of 191 to 475. We see that 2 \times 191 = 382 is the nearest. Now subtract 382 from 475 to get reminder 93. Add 2 to quotient.
\text{Quotient: }222 \text{Reminder: }93
Since 93 is less than 191, stop the division. The reminder is 93. The topmost line 00222 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 222.
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}