Solve 990div105

$$990 \div 105$$

Evaluate

$$\frac{66}{7}\approx 9.428571429$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 990

$$\begin{array}{l}\phantom{105)}\phantom{1}\\105\overline{)990}\\\end{array}$$

Since 9 is less than 105, use the next digit 9 from dividend 990 and add 0 to the quotient

$$\begin{array}{l}\phantom{105)}0\phantom{2}\\105\overline{)990}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 990

$$\begin{array}{l}\phantom{105)}0\phantom{3}\\105\overline{)990}\\\end{array}$$

Since 99 is less than 105, use the next digit 0 from dividend 990 and add 0 to the quotient

$$\begin{array}{l}\phantom{105)}00\phantom{4}\\105\overline{)990}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 990

$$\begin{array}{l}\phantom{105)}00\phantom{5}\\105\overline{)990}\\\end{array}$$

Find closest multiple of 105 to 990. We see that 9 \times 105 = 945 is the nearest. Now subtract 945 from 990 to get reminder 45. Add 9 to quotient.

$$\begin{array}{l}\phantom{105)}009\phantom{6}\\105\overline{)990}\\\phantom{105)}\underline{\phantom{}945\phantom{}}\\\phantom{105)9}45\\\end{array}$$

Since 45 is less than 105, stop the division. The reminder is 45. The topmost line 009 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 9.

$$\text{Quotient: }9 \text{Reminder: }45$$

Factor

$$\frac{2 \cdot 3 \cdot 11}{7} = 9\frac{3}{7} = 9.428571428571429$$