Evaluate
\frac{398}{7}\approx 56.857142857
Factor
\frac{2 \cdot 199}{7} = 56\frac{6}{7} = 56.857142857142854
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\begin{array}{l}\phantom{28)}\phantom{1}\\28\overline{)1592}\\\end{array}
Use the 1^{st} digit 1 from dividend 1592
\begin{array}{l}\phantom{28)}0\phantom{2}\\28\overline{)1592}\\\end{array}
Since 1 is less than 28, use the next digit 5 from dividend 1592 and add 0 to the quotient
\begin{array}{l}\phantom{28)}0\phantom{3}\\28\overline{)1592}\\\end{array}
Use the 2^{nd} digit 5 from dividend 1592
\begin{array}{l}\phantom{28)}00\phantom{4}\\28\overline{)1592}\\\end{array}
Since 15 is less than 28, use the next digit 9 from dividend 1592 and add 0 to the quotient
\begin{array}{l}\phantom{28)}00\phantom{5}\\28\overline{)1592}\\\end{array}
Use the 3^{rd} digit 9 from dividend 1592
\begin{array}{l}\phantom{28)}005\phantom{6}\\28\overline{)1592}\\\phantom{28)}\underline{\phantom{}140\phantom{9}}\\\phantom{28)9}19\\\end{array}
Find closest multiple of 28 to 159. We see that 5 \times 28 = 140 is the nearest. Now subtract 140 from 159 to get reminder 19. Add 5 to quotient.
\begin{array}{l}\phantom{28)}005\phantom{7}\\28\overline{)1592}\\\phantom{28)}\underline{\phantom{}140\phantom{9}}\\\phantom{28)9}192\\\end{array}
Use the 4^{th} digit 2 from dividend 1592
\begin{array}{l}\phantom{28)}0056\phantom{8}\\28\overline{)1592}\\\phantom{28)}\underline{\phantom{}140\phantom{9}}\\\phantom{28)9}192\\\phantom{28)}\underline{\phantom{9}168\phantom{}}\\\phantom{28)99}24\\\end{array}
Find closest multiple of 28 to 192. We see that 6 \times 28 = 168 is the nearest. Now subtract 168 from 192 to get reminder 24. Add 6 to quotient.
\text{Quotient: }56 \text{Reminder: }24
Since 24 is less than 28, stop the division. The reminder is 24. The topmost line 0056 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 56.
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}