Solve 6000div360

$$6000 \div 360$$

Evaluate

$$\frac{50}{3}\approx 16.666666667$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 6000

$$\begin{array}{l}\phantom{360)}\phantom{1}\\360\overline{)6000}\\\end{array}$$

Since 6 is less than 360, use the next digit 0 from dividend 6000 and add 0 to the quotient

$$\begin{array}{l}\phantom{360)}0\phantom{2}\\360\overline{)6000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 6000

$$\begin{array}{l}\phantom{360)}0\phantom{3}\\360\overline{)6000}\\\end{array}$$

Since 60 is less than 360, use the next digit 0 from dividend 6000 and add 0 to the quotient

$$\begin{array}{l}\phantom{360)}00\phantom{4}\\360\overline{)6000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 6000

$$\begin{array}{l}\phantom{360)}00\phantom{5}\\360\overline{)6000}\\\end{array}$$

Find closest multiple of 360 to 600. We see that 1 \times 360 = 360 is the nearest. Now subtract 360 from 600 to get reminder 240. Add 1 to quotient.

$$\begin{array}{l}\phantom{360)}001\phantom{6}\\360\overline{)6000}\\\phantom{360)}\underline{\phantom{}360\phantom{9}}\\\phantom{360)}240\\\end{array}$$

Use the 4^{th} digit 0 from dividend 6000

$$\begin{array}{l}\phantom{360)}001\phantom{7}\\360\overline{)6000}\\\phantom{360)}\underline{\phantom{}360\phantom{9}}\\\phantom{360)}2400\\\end{array}$$

Find closest multiple of 360 to 2400. We see that 6 \times 360 = 2160 is the nearest. Now subtract 2160 from 2400 to get reminder 240. Add 6 to quotient.

$$\begin{array}{l}\phantom{360)}0016\phantom{8}\\360\overline{)6000}\\\phantom{360)}\underline{\phantom{}360\phantom{9}}\\\phantom{360)}2400\\\phantom{360)}\underline{\phantom{}2160\phantom{}}\\\phantom{360)9}240\\\end{array}$$

Since 240 is less than 360, stop the division. The reminder is 240. The topmost line 0016 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 16.

$$\text{Quotient: }16 \text{Reminder: }240$$

Factor

$$\frac{2 \cdot 5 ^ {2}}{3} = 16\frac{2}{3} = 16.666666666666668$$