Evaluate
\frac{24649}{98}\approx 251.520408163
Factor
\frac{157 ^ {2}}{2 \cdot 7 ^ {2}} = 251\frac{51}{98} = 251.5204081632653
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\begin{array}{l}\phantom{98)}\phantom{1}\\98\overline{)24649}\\\end{array}
Use the 1^{st} digit 2 from dividend 24649
\begin{array}{l}\phantom{98)}0\phantom{2}\\98\overline{)24649}\\\end{array}
Since 2 is less than 98, use the next digit 4 from dividend 24649 and add 0 to the quotient
\begin{array}{l}\phantom{98)}0\phantom{3}\\98\overline{)24649}\\\end{array}
Use the 2^{nd} digit 4 from dividend 24649
\begin{array}{l}\phantom{98)}00\phantom{4}\\98\overline{)24649}\\\end{array}
Since 24 is less than 98, use the next digit 6 from dividend 24649 and add 0 to the quotient
\begin{array}{l}\phantom{98)}00\phantom{5}\\98\overline{)24649}\\\end{array}
Use the 3^{rd} digit 6 from dividend 24649
\begin{array}{l}\phantom{98)}002\phantom{6}\\98\overline{)24649}\\\phantom{98)}\underline{\phantom{}196\phantom{99}}\\\phantom{98)9}50\\\end{array}
Find closest multiple of 98 to 246. We see that 2 \times 98 = 196 is the nearest. Now subtract 196 from 246 to get reminder 50. Add 2 to quotient.
\begin{array}{l}\phantom{98)}002\phantom{7}\\98\overline{)24649}\\\phantom{98)}\underline{\phantom{}196\phantom{99}}\\\phantom{98)9}504\\\end{array}
Use the 4^{th} digit 4 from dividend 24649
\begin{array}{l}\phantom{98)}0025\phantom{8}\\98\overline{)24649}\\\phantom{98)}\underline{\phantom{}196\phantom{99}}\\\phantom{98)9}504\\\phantom{98)}\underline{\phantom{9}490\phantom{9}}\\\phantom{98)99}14\\\end{array}
Find closest multiple of 98 to 504. We see that 5 \times 98 = 490 is the nearest. Now subtract 490 from 504 to get reminder 14. Add 5 to quotient.
\begin{array}{l}\phantom{98)}0025\phantom{9}\\98\overline{)24649}\\\phantom{98)}\underline{\phantom{}196\phantom{99}}\\\phantom{98)9}504\\\phantom{98)}\underline{\phantom{9}490\phantom{9}}\\\phantom{98)99}149\\\end{array}
Use the 5^{th} digit 9 from dividend 24649
\begin{array}{l}\phantom{98)}00251\phantom{10}\\98\overline{)24649}\\\phantom{98)}\underline{\phantom{}196\phantom{99}}\\\phantom{98)9}504\\\phantom{98)}\underline{\phantom{9}490\phantom{9}}\\\phantom{98)99}149\\\phantom{98)}\underline{\phantom{999}98\phantom{}}\\\phantom{98)999}51\\\end{array}
Find closest multiple of 98 to 149. We see that 1 \times 98 = 98 is the nearest. Now subtract 98 from 149 to get reminder 51. Add 1 to quotient.
\text{Quotient: }251 \text{Reminder: }51
Since 51 is less than 98, stop the division. The reminder is 51. The topmost line 00251 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 251.
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}