Solve 6000div125

$$6000 \div 125$$

Evaluate

$$48$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{125)}\phantom{1}\\125\overline{)6000}\\\end{array}$$

Since 6 is less than 125, use the next digit 0 from dividend 6000 and add 0 to the quotient

$$\begin{array}{l}\phantom{125)}0\phantom{2}\\125\overline{)6000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{125)}0\phantom{3}\\125\overline{)6000}\\\end{array}$$

Since 60 is less than 125, use the next digit 0 from dividend 6000 and add 0 to the quotient

$$\begin{array}{l}\phantom{125)}00\phantom{4}\\125\overline{)6000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{125)}00\phantom{5}\\125\overline{)6000}\\\end{array}$$

Find closest multiple of 125 to 600. We see that 4 \times 125 = 500 is the nearest. Now subtract 500 from 600 to get reminder 100. Add 4 to quotient.

$$\begin{array}{l}\phantom{125)}004\phantom{6}\\125\overline{)6000}\\\phantom{125)}\underline{\phantom{}500\phantom{9}}\\\phantom{125)}100\\\end{array}$$

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

$$\begin{array}{l}\phantom{125)}004\phantom{7}\\125\overline{)6000}\\\phantom{125)}\underline{\phantom{}500\phantom{9}}\\\phantom{125)}1000\\\end{array}$$

Find closest multiple of 125 to 1000. We see that 8 \times 125 = 1000 is the nearest. Now subtract 1000 from 1000 to get reminder 0. Add 8 to quotient.

$$\begin{array}{l}\phantom{125)}0048\phantom{8}\\125\overline{)6000}\\\phantom{125)}\underline{\phantom{}500\phantom{9}}\\\phantom{125)}1000\\\phantom{125)}\underline{\phantom{}1000\phantom{}}\\\phantom{125)9999}0\\\end{array}$$

Since 0 is less than 125, stop the division. The reminder is 0. The topmost line 0048 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 48.

$$\text{Quotient: }48 \text{Reminder: }0$$

Factor

$$2^{4}\times 3$$