Solve 3600:200

$$3600 : 200$$

Evaluate

$$18$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3600

$$\begin{array}{l}\phantom{200)}\phantom{1}\\200\overline{)3600}\\\end{array}$$

Since 3 is less than 200, use the next digit 6 from dividend 3600 and add 0 to the quotient

$$\begin{array}{l}\phantom{200)}0\phantom{2}\\200\overline{)3600}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 3600

$$\begin{array}{l}\phantom{200)}0\phantom{3}\\200\overline{)3600}\\\end{array}$$

Since 36 is less than 200, use the next digit 0 from dividend 3600 and add 0 to the quotient

$$\begin{array}{l}\phantom{200)}00\phantom{4}\\200\overline{)3600}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 3600

$$\begin{array}{l}\phantom{200)}00\phantom{5}\\200\overline{)3600}\\\end{array}$$

Find closest multiple of 200 to 360. We see that 1 \times 200 = 200 is the nearest. Now subtract 200 from 360 to get reminder 160. Add 1 to quotient.

$$\begin{array}{l}\phantom{200)}001\phantom{6}\\200\overline{)3600}\\\phantom{200)}\underline{\phantom{}200\phantom{9}}\\\phantom{200)}160\\\end{array}$$

Use the 4^{th} digit 0 from dividend 3600

$$\begin{array}{l}\phantom{200)}001\phantom{7}\\200\overline{)3600}\\\phantom{200)}\underline{\phantom{}200\phantom{9}}\\\phantom{200)}1600\\\end{array}$$

Find closest multiple of 200 to 1600. We see that 8 \times 200 = 1600 is the nearest. Now subtract 1600 from 1600 to get reminder 0. Add 8 to quotient.

$$\begin{array}{l}\phantom{200)}0018\phantom{8}\\200\overline{)3600}\\\phantom{200)}\underline{\phantom{}200\phantom{9}}\\\phantom{200)}1600\\\phantom{200)}\underline{\phantom{}1600\phantom{}}\\\phantom{200)9999}0\\\end{array}$$

Since 0 is less than 200, stop the division. The reminder is 0. The topmost line 0018 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 18.

$$\text{Quotient: }18 \text{Reminder: }0$$

Factor

$$2\times 3^{2}$$