Evaluate
\frac{1557}{197}\approx 7.903553299
Factor
\frac{3 ^ {2} \cdot 173}{197} = 7\frac{178}{197} = 7.903553299492386
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\begin{array}{l}\phantom{197)}\phantom{1}\\197\overline{)1557}\\\end{array}
Use the 1^{st} digit 1 from dividend 1557
\begin{array}{l}\phantom{197)}0\phantom{2}\\197\overline{)1557}\\\end{array}
Since 1 is less than 197, use the next digit 5 from dividend 1557 and add 0 to the quotient
\begin{array}{l}\phantom{197)}0\phantom{3}\\197\overline{)1557}\\\end{array}
Use the 2^{nd} digit 5 from dividend 1557
\begin{array}{l}\phantom{197)}00\phantom{4}\\197\overline{)1557}\\\end{array}
Since 15 is less than 197, use the next digit 5 from dividend 1557 and add 0 to the quotient
\begin{array}{l}\phantom{197)}00\phantom{5}\\197\overline{)1557}\\\end{array}
Use the 3^{rd} digit 5 from dividend 1557
\begin{array}{l}\phantom{197)}000\phantom{6}\\197\overline{)1557}\\\end{array}
Since 155 is less than 197, use the next digit 7 from dividend 1557 and add 0 to the quotient
\begin{array}{l}\phantom{197)}000\phantom{7}\\197\overline{)1557}\\\end{array}
Use the 4^{th} digit 7 from dividend 1557
\begin{array}{l}\phantom{197)}0007\phantom{8}\\197\overline{)1557}\\\phantom{197)}\underline{\phantom{}1379\phantom{}}\\\phantom{197)9}178\\\end{array}
Find closest multiple of 197 to 1557. We see that 7 \times 197 = 1379 is the nearest. Now subtract 1379 from 1557 to get reminder 178. Add 7 to quotient.
\text{Quotient: }7 \text{Reminder: }178
Since 178 is less than 197, stop the division. The reminder is 178. The topmost line 0007 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7.
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}