Solve 989:396

$$989 : 396$$

Evaluate

$$\frac{989}{396}\approx 2.497474747$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 989

$$\begin{array}{l}\phantom{396)}\phantom{1}\\396\overline{)989}\\\end{array}$$

Since 9 is less than 396, use the next digit 8 from dividend 989 and add 0 to the quotient

$$\begin{array}{l}\phantom{396)}0\phantom{2}\\396\overline{)989}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 989

$$\begin{array}{l}\phantom{396)}0\phantom{3}\\396\overline{)989}\\\end{array}$$

Since 98 is less than 396, use the next digit 9 from dividend 989 and add 0 to the quotient

$$\begin{array}{l}\phantom{396)}00\phantom{4}\\396\overline{)989}\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 989

$$\begin{array}{l}\phantom{396)}00\phantom{5}\\396\overline{)989}\\\end{array}$$

Find closest multiple of 396 to 989. We see that 2 \times 396 = 792 is the nearest. Now subtract 792 from 989 to get reminder 197. Add 2 to quotient.

$$\begin{array}{l}\phantom{396)}002\phantom{6}\\396\overline{)989}\\\phantom{396)}\underline{\phantom{}792\phantom{}}\\\phantom{396)}197\\\end{array}$$

Since 197 is less than 396, stop the division. The reminder is 197. The topmost line 002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }197$$

Factor

$$\frac{23 \cdot 43}{2 ^ {2} \cdot 3 ^ {2} \cdot 11} = 2\frac{197}{396} = 2.4974747474747474$$