Solve 6000div450

$$6000 \div 450$$

Evaluate

$$\frac{40}{3}\approx 13.333333333$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{450)}\phantom{1}\\450\overline{)6000}\\\end{array}$$

Since 6 is less than 450, use the next digit 0 from dividend 6000 and add 0 to the quotient

$$\begin{array}{l}\phantom{450)}0\phantom{2}\\450\overline{)6000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{450)}0\phantom{3}\\450\overline{)6000}\\\end{array}$$

Since 60 is less than 450, use the next digit 0 from dividend 6000 and add 0 to the quotient

$$\begin{array}{l}\phantom{450)}00\phantom{4}\\450\overline{)6000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{450)}00\phantom{5}\\450\overline{)6000}\\\end{array}$$

Find closest multiple of 450 to 600. We see that 1 \times 450 = 450 is the nearest. Now subtract 450 from 600 to get reminder 150. Add 1 to quotient.

$$\begin{array}{l}\phantom{450)}001\phantom{6}\\450\overline{)6000}\\\phantom{450)}\underline{\phantom{}450\phantom{9}}\\\phantom{450)}150\\\end{array}$$

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

$$\begin{array}{l}\phantom{450)}001\phantom{7}\\450\overline{)6000}\\\phantom{450)}\underline{\phantom{}450\phantom{9}}\\\phantom{450)}1500\\\end{array}$$

Find closest multiple of 450 to 1500. We see that 3 \times 450 = 1350 is the nearest. Now subtract 1350 from 1500 to get reminder 150. Add 3 to quotient.

$$\begin{array}{l}\phantom{450)}0013\phantom{8}\\450\overline{)6000}\\\phantom{450)}\underline{\phantom{}450\phantom{9}}\\\phantom{450)}1500\\\phantom{450)}\underline{\phantom{}1350\phantom{}}\\\phantom{450)9}150\\\end{array}$$

Since 150 is less than 450, stop the division. The reminder is 150. The topmost line 0013 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 13.

$$\text{Quotient: }13 \text{Reminder: }150$$

Factor

$$\frac{2 ^ {3} \cdot 5}{3} = 13\frac{1}{3} = 13.333333333333334$$