Solve 900div55

$$900 \div 55$$

Evaluate

$$\frac{180}{11}\approx 16.363636364$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 900

$$\begin{array}{l}\phantom{55)}\phantom{1}\\55\overline{)900}\\\end{array}$$

Since 9 is less than 55, use the next digit 0 from dividend 900 and add 0 to the quotient

$$\begin{array}{l}\phantom{55)}0\phantom{2}\\55\overline{)900}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 900

$$\begin{array}{l}\phantom{55)}0\phantom{3}\\55\overline{)900}\\\end{array}$$

Find closest multiple of 55 to 90. We see that 1 \times 55 = 55 is the nearest. Now subtract 55 from 90 to get reminder 35. Add 1 to quotient.

$$\begin{array}{l}\phantom{55)}01\phantom{4}\\55\overline{)900}\\\phantom{55)}\underline{\phantom{}55\phantom{9}}\\\phantom{55)}35\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 900

$$\begin{array}{l}\phantom{55)}01\phantom{5}\\55\overline{)900}\\\phantom{55)}\underline{\phantom{}55\phantom{9}}\\\phantom{55)}350\\\end{array}$$

Find closest multiple of 55 to 350. We see that 6 \times 55 = 330 is the nearest. Now subtract 330 from 350 to get reminder 20. Add 6 to quotient.

$$\begin{array}{l}\phantom{55)}016\phantom{6}\\55\overline{)900}\\\phantom{55)}\underline{\phantom{}55\phantom{9}}\\\phantom{55)}350\\\phantom{55)}\underline{\phantom{}330\phantom{}}\\\phantom{55)9}20\\\end{array}$$

Since 20 is less than 55, stop the division. The reminder is 20. The topmost line 016 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 16.

$$\text{Quotient: }16 \text{Reminder: }20$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {2} \cdot 5}{11} = 16\frac{4}{11} = 16.363636363636363$$