Evaluate
\frac{5873153}{97}\approx 60547.969072165
Factor
\frac{11 \cdot 13 \cdot 67 \cdot 613}{97} = 60547\frac{94}{97} = 60547.969072164946
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\begin{array}{l}\phantom{97)}\phantom{1}\\97\overline{)5873153}\\\end{array}
Use the 1^{st} digit 5 from dividend 5873153
\begin{array}{l}\phantom{97)}0\phantom{2}\\97\overline{)5873153}\\\end{array}
Since 5 is less than 97, use the next digit 8 from dividend 5873153 and add 0 to the quotient
\begin{array}{l}\phantom{97)}0\phantom{3}\\97\overline{)5873153}\\\end{array}
Use the 2^{nd} digit 8 from dividend 5873153
\begin{array}{l}\phantom{97)}00\phantom{4}\\97\overline{)5873153}\\\end{array}
Since 58 is less than 97, use the next digit 7 from dividend 5873153 and add 0 to the quotient
\begin{array}{l}\phantom{97)}00\phantom{5}\\97\overline{)5873153}\\\end{array}
Use the 3^{rd} digit 7 from dividend 5873153
\begin{array}{l}\phantom{97)}006\phantom{6}\\97\overline{)5873153}\\\phantom{97)}\underline{\phantom{}582\phantom{9999}}\\\phantom{97)99}5\\\end{array}
Find closest multiple of 97 to 587. We see that 6 \times 97 = 582 is the nearest. Now subtract 582 from 587 to get reminder 5. Add 6 to quotient.
\begin{array}{l}\phantom{97)}006\phantom{7}\\97\overline{)5873153}\\\phantom{97)}\underline{\phantom{}582\phantom{9999}}\\\phantom{97)99}53\\\end{array}
Use the 4^{th} digit 3 from dividend 5873153
\begin{array}{l}\phantom{97)}0060\phantom{8}\\97\overline{)5873153}\\\phantom{97)}\underline{\phantom{}582\phantom{9999}}\\\phantom{97)99}53\\\end{array}
Since 53 is less than 97, use the next digit 1 from dividend 5873153 and add 0 to the quotient
\begin{array}{l}\phantom{97)}0060\phantom{9}\\97\overline{)5873153}\\\phantom{97)}\underline{\phantom{}582\phantom{9999}}\\\phantom{97)99}531\\\end{array}
Use the 5^{th} digit 1 from dividend 5873153
\begin{array}{l}\phantom{97)}00605\phantom{10}\\97\overline{)5873153}\\\phantom{97)}\underline{\phantom{}582\phantom{9999}}\\\phantom{97)99}531\\\phantom{97)}\underline{\phantom{99}485\phantom{99}}\\\phantom{97)999}46\\\end{array}
Find closest multiple of 97 to 531. We see that 5 \times 97 = 485 is the nearest. Now subtract 485 from 531 to get reminder 46. Add 5 to quotient.
\begin{array}{l}\phantom{97)}00605\phantom{11}\\97\overline{)5873153}\\\phantom{97)}\underline{\phantom{}582\phantom{9999}}\\\phantom{97)99}531\\\phantom{97)}\underline{\phantom{99}485\phantom{99}}\\\phantom{97)999}465\\\end{array}
Use the 6^{th} digit 5 from dividend 5873153
\begin{array}{l}\phantom{97)}006054\phantom{12}\\97\overline{)5873153}\\\phantom{97)}\underline{\phantom{}582\phantom{9999}}\\\phantom{97)99}531\\\phantom{97)}\underline{\phantom{99}485\phantom{99}}\\\phantom{97)999}465\\\phantom{97)}\underline{\phantom{999}388\phantom{9}}\\\phantom{97)9999}77\\\end{array}
Find closest multiple of 97 to 465. We see that 4 \times 97 = 388 is the nearest. Now subtract 388 from 465 to get reminder 77. Add 4 to quotient.
\begin{array}{l}\phantom{97)}006054\phantom{13}\\97\overline{)5873153}\\\phantom{97)}\underline{\phantom{}582\phantom{9999}}\\\phantom{97)99}531\\\phantom{97)}\underline{\phantom{99}485\phantom{99}}\\\phantom{97)999}465\\\phantom{97)}\underline{\phantom{999}388\phantom{9}}\\\phantom{97)9999}773\\\end{array}
Use the 7^{th} digit 3 from dividend 5873153
\begin{array}{l}\phantom{97)}0060547\phantom{14}\\97\overline{)5873153}\\\phantom{97)}\underline{\phantom{}582\phantom{9999}}\\\phantom{97)99}531\\\phantom{97)}\underline{\phantom{99}485\phantom{99}}\\\phantom{97)999}465\\\phantom{97)}\underline{\phantom{999}388\phantom{9}}\\\phantom{97)9999}773\\\phantom{97)}\underline{\phantom{9999}679\phantom{}}\\\phantom{97)99999}94\\\end{array}
Find closest multiple of 97 to 773. We see that 7 \times 97 = 679 is the nearest. Now subtract 679 from 773 to get reminder 94. Add 7 to quotient.
\text{Quotient: }60547 \text{Reminder: }94
Since 94 is less than 97, stop the division. The reminder is 94. The topmost line 0060547 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 60547.
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}