Solve 20000div1642

$$20000 \div 1642$$

Evaluate

$$\frac{10000}{821}\approx 12.180267966$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 20000

$$\begin{array}{l}\phantom{1642)}\phantom{1}\\1642\overline{)20000}\\\end{array}$$

Since 2 is less than 1642, use the next digit 0 from dividend 20000 and add 0 to the quotient

$$\begin{array}{l}\phantom{1642)}0\phantom{2}\\1642\overline{)20000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 20000

$$\begin{array}{l}\phantom{1642)}0\phantom{3}\\1642\overline{)20000}\\\end{array}$$

Since 20 is less than 1642, use the next digit 0 from dividend 20000 and add 0 to the quotient

$$\begin{array}{l}\phantom{1642)}00\phantom{4}\\1642\overline{)20000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 20000

$$\begin{array}{l}\phantom{1642)}00\phantom{5}\\1642\overline{)20000}\\\end{array}$$

Since 200 is less than 1642, use the next digit 0 from dividend 20000 and add 0 to the quotient

$$\begin{array}{l}\phantom{1642)}000\phantom{6}\\1642\overline{)20000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 20000

$$\begin{array}{l}\phantom{1642)}000\phantom{7}\\1642\overline{)20000}\\\end{array}$$

Find closest multiple of 1642 to 2000. We see that 1 \times 1642 = 1642 is the nearest. Now subtract 1642 from 2000 to get reminder 358. Add 1 to quotient.

$$\begin{array}{l}\phantom{1642)}0001\phantom{8}\\1642\overline{)20000}\\\phantom{1642)}\underline{\phantom{}1642\phantom{9}}\\\phantom{1642)9}358\\\end{array}$$

Use the 5^{th} digit 0 from dividend 20000

$$\begin{array}{l}\phantom{1642)}0001\phantom{9}\\1642\overline{)20000}\\\phantom{1642)}\underline{\phantom{}1642\phantom{9}}\\\phantom{1642)9}3580\\\end{array}$$

Find closest multiple of 1642 to 3580. We see that 2 \times 1642 = 3284 is the nearest. Now subtract 3284 from 3580 to get reminder 296. Add 2 to quotient.

$$\begin{array}{l}\phantom{1642)}00012\phantom{10}\\1642\overline{)20000}\\\phantom{1642)}\underline{\phantom{}1642\phantom{9}}\\\phantom{1642)9}3580\\\phantom{1642)}\underline{\phantom{9}3284\phantom{}}\\\phantom{1642)99}296\\\end{array}$$

Since 296 is less than 1642, stop the division. The reminder is 296. The topmost line 00012 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 12.

$$\text{Quotient: }12 \text{Reminder: }296$$

Factor

$$\frac{2 ^ {4} \cdot 5 ^ {4}}{821} = 12\frac{148}{821} = 12.180267965895249$$