Evaluate
\frac{11875}{106}\approx 112.028301887
Factor
\frac{5 ^ {4} \cdot 19}{2 \cdot 53} = 112\frac{3}{106} = 112.02830188679245
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\begin{array}{l}\phantom{424)}\phantom{1}\\424\overline{)47500}\\\end{array}
Use the 1^{st} digit 4 from dividend 47500
\begin{array}{l}\phantom{424)}0\phantom{2}\\424\overline{)47500}\\\end{array}
Since 4 is less than 424, use the next digit 7 from dividend 47500 and add 0 to the quotient
\begin{array}{l}\phantom{424)}0\phantom{3}\\424\overline{)47500}\\\end{array}
Use the 2^{nd} digit 7 from dividend 47500
\begin{array}{l}\phantom{424)}00\phantom{4}\\424\overline{)47500}\\\end{array}
Since 47 is less than 424, use the next digit 5 from dividend 47500 and add 0 to the quotient
\begin{array}{l}\phantom{424)}00\phantom{5}\\424\overline{)47500}\\\end{array}
Use the 3^{rd} digit 5 from dividend 47500
\begin{array}{l}\phantom{424)}001\phantom{6}\\424\overline{)47500}\\\phantom{424)}\underline{\phantom{}424\phantom{99}}\\\phantom{424)9}51\\\end{array}
Find closest multiple of 424 to 475. We see that 1 \times 424 = 424 is the nearest. Now subtract 424 from 475 to get reminder 51. Add 1 to quotient.
\begin{array}{l}\phantom{424)}001\phantom{7}\\424\overline{)47500}\\\phantom{424)}\underline{\phantom{}424\phantom{99}}\\\phantom{424)9}510\\\end{array}
Use the 4^{th} digit 0 from dividend 47500
\begin{array}{l}\phantom{424)}0011\phantom{8}\\424\overline{)47500}\\\phantom{424)}\underline{\phantom{}424\phantom{99}}\\\phantom{424)9}510\\\phantom{424)}\underline{\phantom{9}424\phantom{9}}\\\phantom{424)99}86\\\end{array}
Find closest multiple of 424 to 510. We see that 1 \times 424 = 424 is the nearest. Now subtract 424 from 510 to get reminder 86. Add 1 to quotient.
\begin{array}{l}\phantom{424)}0011\phantom{9}\\424\overline{)47500}\\\phantom{424)}\underline{\phantom{}424\phantom{99}}\\\phantom{424)9}510\\\phantom{424)}\underline{\phantom{9}424\phantom{9}}\\\phantom{424)99}860\\\end{array}
Use the 5^{th} digit 0 from dividend 47500
\begin{array}{l}\phantom{424)}00112\phantom{10}\\424\overline{)47500}\\\phantom{424)}\underline{\phantom{}424\phantom{99}}\\\phantom{424)9}510\\\phantom{424)}\underline{\phantom{9}424\phantom{9}}\\\phantom{424)99}860\\\phantom{424)}\underline{\phantom{99}848\phantom{}}\\\phantom{424)999}12\\\end{array}
Find closest multiple of 424 to 860. We see that 2 \times 424 = 848 is the nearest. Now subtract 848 from 860 to get reminder 12. Add 2 to quotient.
\text{Quotient: }112 \text{Reminder: }12
Since 12 is less than 424, stop the division. The reminder is 12. The topmost line 00112 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 112.
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}