Evaluate
7
Factor
7
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\begin{array}{l}\phantom{56)}\phantom{1}\\56\overline{)392}\\\end{array}
Use the 1^{st} digit 3 from dividend 392
\begin{array}{l}\phantom{56)}0\phantom{2}\\56\overline{)392}\\\end{array}
Since 3 is less than 56, use the next digit 9 from dividend 392 and add 0 to the quotient
\begin{array}{l}\phantom{56)}0\phantom{3}\\56\overline{)392}\\\end{array}
Use the 2^{nd} digit 9 from dividend 392
\begin{array}{l}\phantom{56)}00\phantom{4}\\56\overline{)392}\\\end{array}
Since 39 is less than 56, use the next digit 2 from dividend 392 and add 0 to the quotient
\begin{array}{l}\phantom{56)}00\phantom{5}\\56\overline{)392}\\\end{array}
Use the 3^{rd} digit 2 from dividend 392
\begin{array}{l}\phantom{56)}007\phantom{6}\\56\overline{)392}\\\phantom{56)}\underline{\phantom{}392\phantom{}}\\\phantom{56)999}0\\\end{array}
Find closest multiple of 56 to 392. We see that 7 \times 56 = 392 is the nearest. Now subtract 392 from 392 to get reminder 0. Add 7 to quotient.
\text{Quotient: }7 \text{Reminder: }0
Since 0 is less than 56, stop the division. The reminder is 0. The topmost line 007 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7.
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}