Evaluate
\frac{8976543}{98}\approx 91597.37755102
Factor
\frac{3 \cdot 347 \cdot 8623}{2 \cdot 7 ^ {2}} = 91597\frac{37}{98} = 91597.37755102041
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\begin{array}{l}\phantom{98)}\phantom{1}\\98\overline{)8976543}\\\end{array}
Use the 1^{st} digit 8 from dividend 8976543
\begin{array}{l}\phantom{98)}0\phantom{2}\\98\overline{)8976543}\\\end{array}
Since 8 is less than 98, use the next digit 9 from dividend 8976543 and add 0 to the quotient
\begin{array}{l}\phantom{98)}0\phantom{3}\\98\overline{)8976543}\\\end{array}
Use the 2^{nd} digit 9 from dividend 8976543
\begin{array}{l}\phantom{98)}00\phantom{4}\\98\overline{)8976543}\\\end{array}
Since 89 is less than 98, use the next digit 7 from dividend 8976543 and add 0 to the quotient
\begin{array}{l}\phantom{98)}00\phantom{5}\\98\overline{)8976543}\\\end{array}
Use the 3^{rd} digit 7 from dividend 8976543
\begin{array}{l}\phantom{98)}009\phantom{6}\\98\overline{)8976543}\\\phantom{98)}\underline{\phantom{}882\phantom{9999}}\\\phantom{98)9}15\\\end{array}
Find closest multiple of 98 to 897. We see that 9 \times 98 = 882 is the nearest. Now subtract 882 from 897 to get reminder 15. Add 9 to quotient.
\begin{array}{l}\phantom{98)}009\phantom{7}\\98\overline{)8976543}\\\phantom{98)}\underline{\phantom{}882\phantom{9999}}\\\phantom{98)9}156\\\end{array}
Use the 4^{th} digit 6 from dividend 8976543
\begin{array}{l}\phantom{98)}0091\phantom{8}\\98\overline{)8976543}\\\phantom{98)}\underline{\phantom{}882\phantom{9999}}\\\phantom{98)9}156\\\phantom{98)}\underline{\phantom{99}98\phantom{999}}\\\phantom{98)99}58\\\end{array}
Find closest multiple of 98 to 156. We see that 1 \times 98 = 98 is the nearest. Now subtract 98 from 156 to get reminder 58. Add 1 to quotient.
\begin{array}{l}\phantom{98)}0091\phantom{9}\\98\overline{)8976543}\\\phantom{98)}\underline{\phantom{}882\phantom{9999}}\\\phantom{98)9}156\\\phantom{98)}\underline{\phantom{99}98\phantom{999}}\\\phantom{98)99}585\\\end{array}
Use the 5^{th} digit 5 from dividend 8976543
\begin{array}{l}\phantom{98)}00915\phantom{10}\\98\overline{)8976543}\\\phantom{98)}\underline{\phantom{}882\phantom{9999}}\\\phantom{98)9}156\\\phantom{98)}\underline{\phantom{99}98\phantom{999}}\\\phantom{98)99}585\\\phantom{98)}\underline{\phantom{99}490\phantom{99}}\\\phantom{98)999}95\\\end{array}
Find closest multiple of 98 to 585. We see that 5 \times 98 = 490 is the nearest. Now subtract 490 from 585 to get reminder 95. Add 5 to quotient.
\begin{array}{l}\phantom{98)}00915\phantom{11}\\98\overline{)8976543}\\\phantom{98)}\underline{\phantom{}882\phantom{9999}}\\\phantom{98)9}156\\\phantom{98)}\underline{\phantom{99}98\phantom{999}}\\\phantom{98)99}585\\\phantom{98)}\underline{\phantom{99}490\phantom{99}}\\\phantom{98)999}954\\\end{array}
Use the 6^{th} digit 4 from dividend 8976543
\begin{array}{l}\phantom{98)}009159\phantom{12}\\98\overline{)8976543}\\\phantom{98)}\underline{\phantom{}882\phantom{9999}}\\\phantom{98)9}156\\\phantom{98)}\underline{\phantom{99}98\phantom{999}}\\\phantom{98)99}585\\\phantom{98)}\underline{\phantom{99}490\phantom{99}}\\\phantom{98)999}954\\\phantom{98)}\underline{\phantom{999}882\phantom{9}}\\\phantom{98)9999}72\\\end{array}
Find closest multiple of 98 to 954. We see that 9 \times 98 = 882 is the nearest. Now subtract 882 from 954 to get reminder 72. Add 9 to quotient.
\begin{array}{l}\phantom{98)}009159\phantom{13}\\98\overline{)8976543}\\\phantom{98)}\underline{\phantom{}882\phantom{9999}}\\\phantom{98)9}156\\\phantom{98)}\underline{\phantom{99}98\phantom{999}}\\\phantom{98)99}585\\\phantom{98)}\underline{\phantom{99}490\phantom{99}}\\\phantom{98)999}954\\\phantom{98)}\underline{\phantom{999}882\phantom{9}}\\\phantom{98)9999}723\\\end{array}
Use the 7^{th} digit 3 from dividend 8976543
\begin{array}{l}\phantom{98)}0091597\phantom{14}\\98\overline{)8976543}\\\phantom{98)}\underline{\phantom{}882\phantom{9999}}\\\phantom{98)9}156\\\phantom{98)}\underline{\phantom{99}98\phantom{999}}\\\phantom{98)99}585\\\phantom{98)}\underline{\phantom{99}490\phantom{99}}\\\phantom{98)999}954\\\phantom{98)}\underline{\phantom{999}882\phantom{9}}\\\phantom{98)9999}723\\\phantom{98)}\underline{\phantom{9999}686\phantom{}}\\\phantom{98)99999}37\\\end{array}
Find closest multiple of 98 to 723. We see that 7 \times 98 = 686 is the nearest. Now subtract 686 from 723 to get reminder 37. Add 7 to quotient.
\text{Quotient: }91597 \text{Reminder: }37
Since 37 is less than 98, stop the division. The reminder is 37. The topmost line 0091597 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 91597.
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}