Evaluate
\frac{791}{25}=31.64
Factor
\frac{7 \cdot 113}{5 ^ {2}} = 31\frac{16}{25} = 31.64
Share
Copied to clipboard
\begin{array}{l}\phantom{250)}\phantom{1}\\250\overline{)7910}\\\end{array}
Use the 1^{st} digit 7 from dividend 7910
\begin{array}{l}\phantom{250)}0\phantom{2}\\250\overline{)7910}\\\end{array}
Since 7 is less than 250, use the next digit 9 from dividend 7910 and add 0 to the quotient
\begin{array}{l}\phantom{250)}0\phantom{3}\\250\overline{)7910}\\\end{array}
Use the 2^{nd} digit 9 from dividend 7910
\begin{array}{l}\phantom{250)}00\phantom{4}\\250\overline{)7910}\\\end{array}
Since 79 is less than 250, use the next digit 1 from dividend 7910 and add 0 to the quotient
\begin{array}{l}\phantom{250)}00\phantom{5}\\250\overline{)7910}\\\end{array}
Use the 3^{rd} digit 1 from dividend 7910
\begin{array}{l}\phantom{250)}003\phantom{6}\\250\overline{)7910}\\\phantom{250)}\underline{\phantom{}750\phantom{9}}\\\phantom{250)9}41\\\end{array}
Find closest multiple of 250 to 791. We see that 3 \times 250 = 750 is the nearest. Now subtract 750 from 791 to get reminder 41. Add 3 to quotient.
\begin{array}{l}\phantom{250)}003\phantom{7}\\250\overline{)7910}\\\phantom{250)}\underline{\phantom{}750\phantom{9}}\\\phantom{250)9}410\\\end{array}
Use the 4^{th} digit 0 from dividend 7910
\begin{array}{l}\phantom{250)}0031\phantom{8}\\250\overline{)7910}\\\phantom{250)}\underline{\phantom{}750\phantom{9}}\\\phantom{250)9}410\\\phantom{250)}\underline{\phantom{9}250\phantom{}}\\\phantom{250)9}160\\\end{array}
Find closest multiple of 250 to 410. We see that 1 \times 250 = 250 is the nearest. Now subtract 250 from 410 to get reminder 160. Add 1 to quotient.
\text{Quotient: }31 \text{Reminder: }160
Since 160 is less than 250, stop the division. The reminder is 160. The topmost line 0031 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 31.
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}