Evaluate
\frac{6025}{42}\approx 143.452380952
Factor
\frac{5 ^ {2} \cdot 241}{2 \cdot 3 \cdot 7} = 143\frac{19}{42} = 143.45238095238096
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\begin{array}{l}\phantom{168)}\phantom{1}\\168\overline{)24100}\\\end{array}
Use the 1^{st} digit 2 from dividend 24100
\begin{array}{l}\phantom{168)}0\phantom{2}\\168\overline{)24100}\\\end{array}
Since 2 is less than 168, use the next digit 4 from dividend 24100 and add 0 to the quotient
\begin{array}{l}\phantom{168)}0\phantom{3}\\168\overline{)24100}\\\end{array}
Use the 2^{nd} digit 4 from dividend 24100
\begin{array}{l}\phantom{168)}00\phantom{4}\\168\overline{)24100}\\\end{array}
Since 24 is less than 168, use the next digit 1 from dividend 24100 and add 0 to the quotient
\begin{array}{l}\phantom{168)}00\phantom{5}\\168\overline{)24100}\\\end{array}
Use the 3^{rd} digit 1 from dividend 24100
\begin{array}{l}\phantom{168)}001\phantom{6}\\168\overline{)24100}\\\phantom{168)}\underline{\phantom{}168\phantom{99}}\\\phantom{168)9}73\\\end{array}
Find closest multiple of 168 to 241. We see that 1 \times 168 = 168 is the nearest. Now subtract 168 from 241 to get reminder 73. Add 1 to quotient.
\begin{array}{l}\phantom{168)}001\phantom{7}\\168\overline{)24100}\\\phantom{168)}\underline{\phantom{}168\phantom{99}}\\\phantom{168)9}730\\\end{array}
Use the 4^{th} digit 0 from dividend 24100
\begin{array}{l}\phantom{168)}0014\phantom{8}\\168\overline{)24100}\\\phantom{168)}\underline{\phantom{}168\phantom{99}}\\\phantom{168)9}730\\\phantom{168)}\underline{\phantom{9}672\phantom{9}}\\\phantom{168)99}58\\\end{array}
Find closest multiple of 168 to 730. We see that 4 \times 168 = 672 is the nearest. Now subtract 672 from 730 to get reminder 58. Add 4 to quotient.
\begin{array}{l}\phantom{168)}0014\phantom{9}\\168\overline{)24100}\\\phantom{168)}\underline{\phantom{}168\phantom{99}}\\\phantom{168)9}730\\\phantom{168)}\underline{\phantom{9}672\phantom{9}}\\\phantom{168)99}580\\\end{array}
Use the 5^{th} digit 0 from dividend 24100
\begin{array}{l}\phantom{168)}00143\phantom{10}\\168\overline{)24100}\\\phantom{168)}\underline{\phantom{}168\phantom{99}}\\\phantom{168)9}730\\\phantom{168)}\underline{\phantom{9}672\phantom{9}}\\\phantom{168)99}580\\\phantom{168)}\underline{\phantom{99}504\phantom{}}\\\phantom{168)999}76\\\end{array}
Find closest multiple of 168 to 580. We see that 3 \times 168 = 504 is the nearest. Now subtract 504 from 580 to get reminder 76. Add 3 to quotient.
\text{Quotient: }143 \text{Reminder: }76
Since 76 is less than 168, stop the division. The reminder is 76. The topmost line 00143 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 143.
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}