Evaluate
\frac{931}{5}=186.2
Factor
\frac{7 ^ {2} \cdot 19}{5} = 186\frac{1}{5} = 186.2
Share
Copied to clipboard
\begin{array}{l}\phantom{60)}\phantom{1}\\60\overline{)11172}\\\end{array}
Use the 1^{st} digit 1 from dividend 11172
\begin{array}{l}\phantom{60)}0\phantom{2}\\60\overline{)11172}\\\end{array}
Since 1 is less than 60, use the next digit 1 from dividend 11172 and add 0 to the quotient
\begin{array}{l}\phantom{60)}0\phantom{3}\\60\overline{)11172}\\\end{array}
Use the 2^{nd} digit 1 from dividend 11172
\begin{array}{l}\phantom{60)}00\phantom{4}\\60\overline{)11172}\\\end{array}
Since 11 is less than 60, use the next digit 1 from dividend 11172 and add 0 to the quotient
\begin{array}{l}\phantom{60)}00\phantom{5}\\60\overline{)11172}\\\end{array}
Use the 3^{rd} digit 1 from dividend 11172
\begin{array}{l}\phantom{60)}001\phantom{6}\\60\overline{)11172}\\\phantom{60)}\underline{\phantom{9}60\phantom{99}}\\\phantom{60)9}51\\\end{array}
Find closest multiple of 60 to 111. We see that 1 \times 60 = 60 is the nearest. Now subtract 60 from 111 to get reminder 51. Add 1 to quotient.
\begin{array}{l}\phantom{60)}001\phantom{7}\\60\overline{)11172}\\\phantom{60)}\underline{\phantom{9}60\phantom{99}}\\\phantom{60)9}517\\\end{array}
Use the 4^{th} digit 7 from dividend 11172
\begin{array}{l}\phantom{60)}0018\phantom{8}\\60\overline{)11172}\\\phantom{60)}\underline{\phantom{9}60\phantom{99}}\\\phantom{60)9}517\\\phantom{60)}\underline{\phantom{9}480\phantom{9}}\\\phantom{60)99}37\\\end{array}
Find closest multiple of 60 to 517. We see that 8 \times 60 = 480 is the nearest. Now subtract 480 from 517 to get reminder 37. Add 8 to quotient.
\begin{array}{l}\phantom{60)}0018\phantom{9}\\60\overline{)11172}\\\phantom{60)}\underline{\phantom{9}60\phantom{99}}\\\phantom{60)9}517\\\phantom{60)}\underline{\phantom{9}480\phantom{9}}\\\phantom{60)99}372\\\end{array}
Use the 5^{th} digit 2 from dividend 11172
\begin{array}{l}\phantom{60)}00186\phantom{10}\\60\overline{)11172}\\\phantom{60)}\underline{\phantom{9}60\phantom{99}}\\\phantom{60)9}517\\\phantom{60)}\underline{\phantom{9}480\phantom{9}}\\\phantom{60)99}372\\\phantom{60)}\underline{\phantom{99}360\phantom{}}\\\phantom{60)999}12\\\end{array}
Find closest multiple of 60 to 372. We see that 6 \times 60 = 360 is the nearest. Now subtract 360 from 372 to get reminder 12. Add 6 to quotient.
\text{Quotient: }186 \text{Reminder: }12
Since 12 is less than 60, stop the division. The reminder is 12. The topmost line 00186 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 186.
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}