Solve 41000div3000

$$41000 \div 3000$$

Evaluate

$$\frac{41}{3}\approx 13.666666667$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 41000

$$\begin{array}{l}\phantom{3000)}\phantom{1}\\3000\overline{)41000}\\\end{array}$$

Since 4 is less than 3000, use the next digit 1 from dividend 41000 and add 0 to the quotient

$$\begin{array}{l}\phantom{3000)}0\phantom{2}\\3000\overline{)41000}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 41000

$$\begin{array}{l}\phantom{3000)}0\phantom{3}\\3000\overline{)41000}\\\end{array}$$

Since 41 is less than 3000, use the next digit 0 from dividend 41000 and add 0 to the quotient

$$\begin{array}{l}\phantom{3000)}00\phantom{4}\\3000\overline{)41000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 41000

$$\begin{array}{l}\phantom{3000)}00\phantom{5}\\3000\overline{)41000}\\\end{array}$$

Since 410 is less than 3000, use the next digit 0 from dividend 41000 and add 0 to the quotient

$$\begin{array}{l}\phantom{3000)}000\phantom{6}\\3000\overline{)41000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 41000

$$\begin{array}{l}\phantom{3000)}000\phantom{7}\\3000\overline{)41000}\\\end{array}$$

Find closest multiple of 3000 to 4100. We see that 1 \times 3000 = 3000 is the nearest. Now subtract 3000 from 4100 to get reminder 1100. Add 1 to quotient.

$$\begin{array}{l}\phantom{3000)}0001\phantom{8}\\3000\overline{)41000}\\\phantom{3000)}\underline{\phantom{}3000\phantom{9}}\\\phantom{3000)}1100\\\end{array}$$

Use the 5^{th} digit 0 from dividend 41000

$$\begin{array}{l}\phantom{3000)}0001\phantom{9}\\3000\overline{)41000}\\\phantom{3000)}\underline{\phantom{}3000\phantom{9}}\\\phantom{3000)}11000\\\end{array}$$

Find closest multiple of 3000 to 11000. We see that 3 \times 3000 = 9000 is the nearest. Now subtract 9000 from 11000 to get reminder 2000. Add 3 to quotient.

$$\begin{array}{l}\phantom{3000)}00013\phantom{10}\\3000\overline{)41000}\\\phantom{3000)}\underline{\phantom{}3000\phantom{9}}\\\phantom{3000)}11000\\\phantom{3000)}\underline{\phantom{9}9000\phantom{}}\\\phantom{3000)9}2000\\\end{array}$$

Since 2000 is less than 3000, stop the division. The reminder is 2000. The topmost line 00013 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 13.

$$\text{Quotient: }13 \text{Reminder: }2000$$

Factor

$$\frac{41}{3} = 13\frac{2}{3} = 13.666666666666666$$