Evaluate
\frac{372}{5}=74.4
Factor
\frac{2 ^ {2} \cdot 3 \cdot 31}{5} = 74\frac{2}{5} = 74.4
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\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)1860}\\\end{array}
Use the 1^{st} digit 1 from dividend 1860
\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)1860}\\\end{array}
Since 1 is less than 25, use the next digit 8 from dividend 1860 and add 0 to the quotient
\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)1860}\\\end{array}
Use the 2^{nd} digit 8 from dividend 1860
\begin{array}{l}\phantom{25)}00\phantom{4}\\25\overline{)1860}\\\end{array}
Since 18 is less than 25, use the next digit 6 from dividend 1860 and add 0 to the quotient
\begin{array}{l}\phantom{25)}00\phantom{5}\\25\overline{)1860}\\\end{array}
Use the 3^{rd} digit 6 from dividend 1860
\begin{array}{l}\phantom{25)}007\phantom{6}\\25\overline{)1860}\\\phantom{25)}\underline{\phantom{}175\phantom{9}}\\\phantom{25)9}11\\\end{array}
Find closest multiple of 25 to 186. We see that 7 \times 25 = 175 is the nearest. Now subtract 175 from 186 to get reminder 11. Add 7 to quotient.
\begin{array}{l}\phantom{25)}007\phantom{7}\\25\overline{)1860}\\\phantom{25)}\underline{\phantom{}175\phantom{9}}\\\phantom{25)9}110\\\end{array}
Use the 4^{th} digit 0 from dividend 1860
\begin{array}{l}\phantom{25)}0074\phantom{8}\\25\overline{)1860}\\\phantom{25)}\underline{\phantom{}175\phantom{9}}\\\phantom{25)9}110\\\phantom{25)}\underline{\phantom{9}100\phantom{}}\\\phantom{25)99}10\\\end{array}
Find closest multiple of 25 to 110. We see that 4 \times 25 = 100 is the nearest. Now subtract 100 from 110 to get reminder 10. Add 4 to quotient.
\text{Quotient: }74 \text{Reminder: }10
Since 10 is less than 25, stop the division. The reminder is 10. The topmost line 0074 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 74.
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}