Evaluate
\frac{4999}{49}\approx 102.020408163
Factor
\frac{4999}{7 ^ {2}} = 102\frac{1}{49} = 102.0204081632653
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\begin{array}{l}\phantom{98)}\phantom{1}\\98\overline{)9998}\\\end{array}
Use the 1^{st} digit 9 from dividend 9998
\begin{array}{l}\phantom{98)}0\phantom{2}\\98\overline{)9998}\\\end{array}
Since 9 is less than 98, use the next digit 9 from dividend 9998 and add 0 to the quotient
\begin{array}{l}\phantom{98)}0\phantom{3}\\98\overline{)9998}\\\end{array}
Use the 2^{nd} digit 9 from dividend 9998
\begin{array}{l}\phantom{98)}01\phantom{4}\\98\overline{)9998}\\\phantom{98)}\underline{\phantom{}98\phantom{99}}\\\phantom{98)9}1\\\end{array}
Find closest multiple of 98 to 99. We see that 1 \times 98 = 98 is the nearest. Now subtract 98 from 99 to get reminder 1. Add 1 to quotient.
\begin{array}{l}\phantom{98)}01\phantom{5}\\98\overline{)9998}\\\phantom{98)}\underline{\phantom{}98\phantom{99}}\\\phantom{98)9}19\\\end{array}
Use the 3^{rd} digit 9 from dividend 9998
\begin{array}{l}\phantom{98)}010\phantom{6}\\98\overline{)9998}\\\phantom{98)}\underline{\phantom{}98\phantom{99}}\\\phantom{98)9}19\\\end{array}
Since 19 is less than 98, use the next digit 8 from dividend 9998 and add 0 to the quotient
\begin{array}{l}\phantom{98)}010\phantom{7}\\98\overline{)9998}\\\phantom{98)}\underline{\phantom{}98\phantom{99}}\\\phantom{98)9}198\\\end{array}
Use the 4^{th} digit 8 from dividend 9998
\begin{array}{l}\phantom{98)}0102\phantom{8}\\98\overline{)9998}\\\phantom{98)}\underline{\phantom{}98\phantom{99}}\\\phantom{98)9}198\\\phantom{98)}\underline{\phantom{9}196\phantom{}}\\\phantom{98)999}2\\\end{array}
Find closest multiple of 98 to 198. We see that 2 \times 98 = 196 is the nearest. Now subtract 196 from 198 to get reminder 2. Add 2 to quotient.
\text{Quotient: }102 \text{Reminder: }2
Since 2 is less than 98, stop the division. The reminder is 2. The topmost line 0102 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 102.
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}