Evaluate
\frac{358}{5}=71.6
Factor
\frac{2 \cdot 179}{5} = 71\frac{3}{5} = 71.6
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\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)1790}\\\end{array}
Use the 1^{st} digit 1 from dividend 1790
\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)1790}\\\end{array}
Since 1 is less than 25, use the next digit 7 from dividend 1790 and add 0 to the quotient
\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)1790}\\\end{array}
Use the 2^{nd} digit 7 from dividend 1790
\begin{array}{l}\phantom{25)}00\phantom{4}\\25\overline{)1790}\\\end{array}
Since 17 is less than 25, use the next digit 9 from dividend 1790 and add 0 to the quotient
\begin{array}{l}\phantom{25)}00\phantom{5}\\25\overline{)1790}\\\end{array}
Use the 3^{rd} digit 9 from dividend 1790
\begin{array}{l}\phantom{25)}007\phantom{6}\\25\overline{)1790}\\\phantom{25)}\underline{\phantom{}175\phantom{9}}\\\phantom{25)99}4\\\end{array}
Find closest multiple of 25 to 179. We see that 7 \times 25 = 175 is the nearest. Now subtract 175 from 179 to get reminder 4. Add 7 to quotient.
\begin{array}{l}\phantom{25)}007\phantom{7}\\25\overline{)1790}\\\phantom{25)}\underline{\phantom{}175\phantom{9}}\\\phantom{25)99}40\\\end{array}
Use the 4^{th} digit 0 from dividend 1790
\begin{array}{l}\phantom{25)}0071\phantom{8}\\25\overline{)1790}\\\phantom{25)}\underline{\phantom{}175\phantom{9}}\\\phantom{25)99}40\\\phantom{25)}\underline{\phantom{99}25\phantom{}}\\\phantom{25)99}15\\\end{array}
Find closest multiple of 25 to 40. We see that 1 \times 25 = 25 is the nearest. Now subtract 25 from 40 to get reminder 15. Add 1 to quotient.
\text{Quotient: }71 \text{Reminder: }15
Since 15 is less than 25, stop the division. The reminder is 15. The topmost line 0071 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 71.
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}