Solve 81000div3200

$$81000 \div 3200$$

Evaluate

$$\frac{405}{16}=25.3125$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 81000

$$\begin{array}{l}\phantom{3200)}\phantom{1}\\3200\overline{)81000}\\\end{array}$$

Since 8 is less than 3200, use the next digit 1 from dividend 81000 and add 0 to the quotient

$$\begin{array}{l}\phantom{3200)}0\phantom{2}\\3200\overline{)81000}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 81000

$$\begin{array}{l}\phantom{3200)}0\phantom{3}\\3200\overline{)81000}\\\end{array}$$

Since 81 is less than 3200, use the next digit 0 from dividend 81000 and add 0 to the quotient

$$\begin{array}{l}\phantom{3200)}00\phantom{4}\\3200\overline{)81000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 81000

$$\begin{array}{l}\phantom{3200)}00\phantom{5}\\3200\overline{)81000}\\\end{array}$$

Since 810 is less than 3200, use the next digit 0 from dividend 81000 and add 0 to the quotient

$$\begin{array}{l}\phantom{3200)}000\phantom{6}\\3200\overline{)81000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 81000

$$\begin{array}{l}\phantom{3200)}000\phantom{7}\\3200\overline{)81000}\\\end{array}$$

Find closest multiple of 3200 to 8100. We see that 2 \times 3200 = 6400 is the nearest. Now subtract 6400 from 8100 to get reminder 1700. Add 2 to quotient.

$$\begin{array}{l}\phantom{3200)}0002\phantom{8}\\3200\overline{)81000}\\\phantom{3200)}\underline{\phantom{}6400\phantom{9}}\\\phantom{3200)}1700\\\end{array}$$

Use the 5^{th} digit 0 from dividend 81000

$$\begin{array}{l}\phantom{3200)}0002\phantom{9}\\3200\overline{)81000}\\\phantom{3200)}\underline{\phantom{}6400\phantom{9}}\\\phantom{3200)}17000\\\end{array}$$

Find closest multiple of 3200 to 17000. We see that 5 \times 3200 = 16000 is the nearest. Now subtract 16000 from 17000 to get reminder 1000. Add 5 to quotient.

$$\begin{array}{l}\phantom{3200)}00025\phantom{10}\\3200\overline{)81000}\\\phantom{3200)}\underline{\phantom{}6400\phantom{9}}\\\phantom{3200)}17000\\\phantom{3200)}\underline{\phantom{}16000\phantom{}}\\\phantom{3200)9}1000\\\end{array}$$

Since 1000 is less than 3200, stop the division. The reminder is 1000. The topmost line 00025 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 25.

$$\text{Quotient: }25 \text{Reminder: }1000$$

Factor

$$\frac{3 ^ {4} \cdot 5}{2 ^ {4}} = 25\frac{5}{16} = 25.3125$$