Evaluate
\frac{197}{4}=49.25
Factor
\frac{197}{2 ^ {2}} = 49\frac{1}{4} = 49.25
Share
Copied to clipboard
\begin{array}{l}\phantom{40)}\phantom{1}\\40\overline{)1970}\\\end{array}
Use the 1^{st} digit 1 from dividend 1970
\begin{array}{l}\phantom{40)}0\phantom{2}\\40\overline{)1970}\\\end{array}
Since 1 is less than 40, use the next digit 9 from dividend 1970 and add 0 to the quotient
\begin{array}{l}\phantom{40)}0\phantom{3}\\40\overline{)1970}\\\end{array}
Use the 2^{nd} digit 9 from dividend 1970
\begin{array}{l}\phantom{40)}00\phantom{4}\\40\overline{)1970}\\\end{array}
Since 19 is less than 40, use the next digit 7 from dividend 1970 and add 0 to the quotient
\begin{array}{l}\phantom{40)}00\phantom{5}\\40\overline{)1970}\\\end{array}
Use the 3^{rd} digit 7 from dividend 1970
\begin{array}{l}\phantom{40)}004\phantom{6}\\40\overline{)1970}\\\phantom{40)}\underline{\phantom{}160\phantom{9}}\\\phantom{40)9}37\\\end{array}
Find closest multiple of 40 to 197. We see that 4 \times 40 = 160 is the nearest. Now subtract 160 from 197 to get reminder 37. Add 4 to quotient.
\begin{array}{l}\phantom{40)}004\phantom{7}\\40\overline{)1970}\\\phantom{40)}\underline{\phantom{}160\phantom{9}}\\\phantom{40)9}370\\\end{array}
Use the 4^{th} digit 0 from dividend 1970
\begin{array}{l}\phantom{40)}0049\phantom{8}\\40\overline{)1970}\\\phantom{40)}\underline{\phantom{}160\phantom{9}}\\\phantom{40)9}370\\\phantom{40)}\underline{\phantom{9}360\phantom{}}\\\phantom{40)99}10\\\end{array}
Find closest multiple of 40 to 370. We see that 9 \times 40 = 360 is the nearest. Now subtract 360 from 370 to get reminder 10. Add 9 to quotient.
\text{Quotient: }49 \text{Reminder: }10
Since 10 is less than 40, stop the division. The reminder is 10. The topmost line 0049 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 49.
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}