Evaluate
79
Factor
79
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\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)1975}\\\end{array}
Use the 1^{st} digit 1 from dividend 1975
\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)1975}\\\end{array}
Since 1 is less than 25, use the next digit 9 from dividend 1975 and add 0 to the quotient
\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)1975}\\\end{array}
Use the 2^{nd} digit 9 from dividend 1975
\begin{array}{l}\phantom{25)}00\phantom{4}\\25\overline{)1975}\\\end{array}
Since 19 is less than 25, use the next digit 7 from dividend 1975 and add 0 to the quotient
\begin{array}{l}\phantom{25)}00\phantom{5}\\25\overline{)1975}\\\end{array}
Use the 3^{rd} digit 7 from dividend 1975
\begin{array}{l}\phantom{25)}007\phantom{6}\\25\overline{)1975}\\\phantom{25)}\underline{\phantom{}175\phantom{9}}\\\phantom{25)9}22\\\end{array}
Find closest multiple of 25 to 197. We see that 7 \times 25 = 175 is the nearest. Now subtract 175 from 197 to get reminder 22. Add 7 to quotient.
\begin{array}{l}\phantom{25)}007\phantom{7}\\25\overline{)1975}\\\phantom{25)}\underline{\phantom{}175\phantom{9}}\\\phantom{25)9}225\\\end{array}
Use the 4^{th} digit 5 from dividend 1975
\begin{array}{l}\phantom{25)}0079\phantom{8}\\25\overline{)1975}\\\phantom{25)}\underline{\phantom{}175\phantom{9}}\\\phantom{25)9}225\\\phantom{25)}\underline{\phantom{9}225\phantom{}}\\\phantom{25)9999}0\\\end{array}
Find closest multiple of 25 to 225. We see that 9 \times 25 = 225 is the nearest. Now subtract 225 from 225 to get reminder 0. Add 9 to quotient.
\text{Quotient: }79 \text{Reminder: }0
Since 0 is less than 25, stop the division. The reminder is 0. The topmost line 0079 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 79.
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}