Evaluate
\frac{1175}{89}\approx 13.202247191
Factor
\frac{5 ^ {2} \cdot 47}{89} = 13\frac{18}{89} = 13.202247191011235
Share
Copied to clipboard
\begin{array}{l}\phantom{89)}\phantom{1}\\89\overline{)1175}\\\end{array}
Use the 1^{st} digit 1 from dividend 1175
\begin{array}{l}\phantom{89)}0\phantom{2}\\89\overline{)1175}\\\end{array}
Since 1 is less than 89, use the next digit 1 from dividend 1175 and add 0 to the quotient
\begin{array}{l}\phantom{89)}0\phantom{3}\\89\overline{)1175}\\\end{array}
Use the 2^{nd} digit 1 from dividend 1175
\begin{array}{l}\phantom{89)}00\phantom{4}\\89\overline{)1175}\\\end{array}
Since 11 is less than 89, use the next digit 7 from dividend 1175 and add 0 to the quotient
\begin{array}{l}\phantom{89)}00\phantom{5}\\89\overline{)1175}\\\end{array}
Use the 3^{rd} digit 7 from dividend 1175
\begin{array}{l}\phantom{89)}001\phantom{6}\\89\overline{)1175}\\\phantom{89)}\underline{\phantom{9}89\phantom{9}}\\\phantom{89)9}28\\\end{array}
Find closest multiple of 89 to 117. We see that 1 \times 89 = 89 is the nearest. Now subtract 89 from 117 to get reminder 28. Add 1 to quotient.
\begin{array}{l}\phantom{89)}001\phantom{7}\\89\overline{)1175}\\\phantom{89)}\underline{\phantom{9}89\phantom{9}}\\\phantom{89)9}285\\\end{array}
Use the 4^{th} digit 5 from dividend 1175
\begin{array}{l}\phantom{89)}0013\phantom{8}\\89\overline{)1175}\\\phantom{89)}\underline{\phantom{9}89\phantom{9}}\\\phantom{89)9}285\\\phantom{89)}\underline{\phantom{9}267\phantom{}}\\\phantom{89)99}18\\\end{array}
Find closest multiple of 89 to 285. We see that 3 \times 89 = 267 is the nearest. Now subtract 267 from 285 to get reminder 18. Add 3 to quotient.
\text{Quotient: }13 \text{Reminder: }18
Since 18 is less than 89, stop the division. The reminder is 18. The topmost line 0013 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 13.
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}