Solve 200000div360

$$200000 \div 360$$

Evaluate

$$\frac{5000}{9}\approx 555.555555556$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 200000

$$\begin{array}{l}\phantom{360)}\phantom{1}\\360\overline{)200000}\\\end{array}$$

Since 2 is less than 360, use the next digit 0 from dividend 200000 and add 0 to the quotient

$$\begin{array}{l}\phantom{360)}0\phantom{2}\\360\overline{)200000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 200000

$$\begin{array}{l}\phantom{360)}0\phantom{3}\\360\overline{)200000}\\\end{array}$$

Since 20 is less than 360, use the next digit 0 from dividend 200000 and add 0 to the quotient

$$\begin{array}{l}\phantom{360)}00\phantom{4}\\360\overline{)200000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 200000

$$\begin{array}{l}\phantom{360)}00\phantom{5}\\360\overline{)200000}\\\end{array}$$

Since 200 is less than 360, use the next digit 0 from dividend 200000 and add 0 to the quotient

$$\begin{array}{l}\phantom{360)}000\phantom{6}\\360\overline{)200000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 200000

$$\begin{array}{l}\phantom{360)}000\phantom{7}\\360\overline{)200000}\\\end{array}$$

Find closest multiple of 360 to 2000. We see that 5 \times 360 = 1800 is the nearest. Now subtract 1800 from 2000 to get reminder 200. Add 5 to quotient.

$$\begin{array}{l}\phantom{360)}0005\phantom{8}\\360\overline{)200000}\\\phantom{360)}\underline{\phantom{}1800\phantom{99}}\\\phantom{360)9}200\\\end{array}$$

Use the 5^{th} digit 0 from dividend 200000

$$\begin{array}{l}\phantom{360)}0005\phantom{9}\\360\overline{)200000}\\\phantom{360)}\underline{\phantom{}1800\phantom{99}}\\\phantom{360)9}2000\\\end{array}$$

Find closest multiple of 360 to 2000. We see that 5 \times 360 = 1800 is the nearest. Now subtract 1800 from 2000 to get reminder 200. Add 5 to quotient.

$$\begin{array}{l}\phantom{360)}00055\phantom{10}\\360\overline{)200000}\\\phantom{360)}\underline{\phantom{}1800\phantom{99}}\\\phantom{360)9}2000\\\phantom{360)}\underline{\phantom{9}1800\phantom{9}}\\\phantom{360)99}200\\\end{array}$$

Use the 6^{th} digit 0 from dividend 200000

$$\begin{array}{l}\phantom{360)}00055\phantom{11}\\360\overline{)200000}\\\phantom{360)}\underline{\phantom{}1800\phantom{99}}\\\phantom{360)9}2000\\\phantom{360)}\underline{\phantom{9}1800\phantom{9}}\\\phantom{360)99}2000\\\end{array}$$

Find closest multiple of 360 to 2000. We see that 5 \times 360 = 1800 is the nearest. Now subtract 1800 from 2000 to get reminder 200. Add 5 to quotient.

$$\begin{array}{l}\phantom{360)}000555\phantom{12}\\360\overline{)200000}\\\phantom{360)}\underline{\phantom{}1800\phantom{99}}\\\phantom{360)9}2000\\\phantom{360)}\underline{\phantom{9}1800\phantom{9}}\\\phantom{360)99}2000\\\phantom{360)}\underline{\phantom{99}1800\phantom{}}\\\phantom{360)999}200\\\end{array}$$

Since 200 is less than 360, stop the division. The reminder is 200. The topmost line 000555 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 555.

$$\text{Quotient: }555 \text{Reminder: }200$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {4}}{3 ^ {2}} = 555\frac{5}{9} = 555.5555555555555$$