Evaluate
\frac{88}{5}=17.6
Factor
\frac{2 ^ {3} \cdot 11}{5} = 17\frac{3}{5} = 17.6
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\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)440}\\\end{array}
Use the 1^{st} digit 4 from dividend 440
\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)440}\\\end{array}
Since 4 is less than 25, use the next digit 4 from dividend 440 and add 0 to the quotient
\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)440}\\\end{array}
Use the 2^{nd} digit 4 from dividend 440
\begin{array}{l}\phantom{25)}01\phantom{4}\\25\overline{)440}\\\phantom{25)}\underline{\phantom{}25\phantom{9}}\\\phantom{25)}19\\\end{array}
Find closest multiple of 25 to 44. We see that 1 \times 25 = 25 is the nearest. Now subtract 25 from 44 to get reminder 19. Add 1 to quotient.
\begin{array}{l}\phantom{25)}01\phantom{5}\\25\overline{)440}\\\phantom{25)}\underline{\phantom{}25\phantom{9}}\\\phantom{25)}190\\\end{array}
Use the 3^{rd} digit 0 from dividend 440
\begin{array}{l}\phantom{25)}017\phantom{6}\\25\overline{)440}\\\phantom{25)}\underline{\phantom{}25\phantom{9}}\\\phantom{25)}190\\\phantom{25)}\underline{\phantom{}175\phantom{}}\\\phantom{25)9}15\\\end{array}
Find closest multiple of 25 to 190. We see that 7 \times 25 = 175 is the nearest. Now subtract 175 from 190 to get reminder 15. Add 7 to quotient.
\text{Quotient: }17 \text{Reminder: }15
Since 15 is less than 25, stop the division. The reminder is 15. The topmost line 017 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 17.
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}