Evaluate
98
Factor
2\times 7^{2}
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\begin{array}{l}\phantom{28)}\phantom{1}\\28\overline{)2744}\\\end{array}
Use the 1^{st} digit 2 from dividend 2744
\begin{array}{l}\phantom{28)}0\phantom{2}\\28\overline{)2744}\\\end{array}
Since 2 is less than 28, use the next digit 7 from dividend 2744 and add 0 to the quotient
\begin{array}{l}\phantom{28)}0\phantom{3}\\28\overline{)2744}\\\end{array}
Use the 2^{nd} digit 7 from dividend 2744
\begin{array}{l}\phantom{28)}00\phantom{4}\\28\overline{)2744}\\\end{array}
Since 27 is less than 28, use the next digit 4 from dividend 2744 and add 0 to the quotient
\begin{array}{l}\phantom{28)}00\phantom{5}\\28\overline{)2744}\\\end{array}
Use the 3^{rd} digit 4 from dividend 2744
\begin{array}{l}\phantom{28)}009\phantom{6}\\28\overline{)2744}\\\phantom{28)}\underline{\phantom{}252\phantom{9}}\\\phantom{28)9}22\\\end{array}
Find closest multiple of 28 to 274. We see that 9 \times 28 = 252 is the nearest. Now subtract 252 from 274 to get reminder 22. Add 9 to quotient.
\begin{array}{l}\phantom{28)}009\phantom{7}\\28\overline{)2744}\\\phantom{28)}\underline{\phantom{}252\phantom{9}}\\\phantom{28)9}224\\\end{array}
Use the 4^{th} digit 4 from dividend 2744
\begin{array}{l}\phantom{28)}0098\phantom{8}\\28\overline{)2744}\\\phantom{28)}\underline{\phantom{}252\phantom{9}}\\\phantom{28)9}224\\\phantom{28)}\underline{\phantom{9}224\phantom{}}\\\phantom{28)9999}0\\\end{array}
Find closest multiple of 28 to 224. We see that 8 \times 28 = 224 is the nearest. Now subtract 224 from 224 to get reminder 0. Add 8 to quotient.
\text{Quotient: }98 \text{Reminder: }0
Since 0 is less than 28, stop the division. The reminder is 0. The topmost line 0098 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 98.
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}