Solve 8000div447=

$$8000 \div 447=$$

Evaluate

$$\frac{8000}{447}\approx 17.897091723$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 8000

$$\begin{array}{l}\phantom{447)}\phantom{1}\\447\overline{)8000}\\\end{array}$$

Since 8 is less than 447, use the next digit 0 from dividend 8000 and add 0 to the quotient

$$\begin{array}{l}\phantom{447)}0\phantom{2}\\447\overline{)8000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 8000

$$\begin{array}{l}\phantom{447)}0\phantom{3}\\447\overline{)8000}\\\end{array}$$

Since 80 is less than 447, use the next digit 0 from dividend 8000 and add 0 to the quotient

$$\begin{array}{l}\phantom{447)}00\phantom{4}\\447\overline{)8000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 8000

$$\begin{array}{l}\phantom{447)}00\phantom{5}\\447\overline{)8000}\\\end{array}$$

Find closest multiple of 447 to 800. We see that 1 \times 447 = 447 is the nearest. Now subtract 447 from 800 to get reminder 353. Add 1 to quotient.

$$\begin{array}{l}\phantom{447)}001\phantom{6}\\447\overline{)8000}\\\phantom{447)}\underline{\phantom{}447\phantom{9}}\\\phantom{447)}353\\\end{array}$$

Use the 4^{th} digit 0 from dividend 8000

$$\begin{array}{l}\phantom{447)}001\phantom{7}\\447\overline{)8000}\\\phantom{447)}\underline{\phantom{}447\phantom{9}}\\\phantom{447)}3530\\\end{array}$$

Find closest multiple of 447 to 3530. We see that 7 \times 447 = 3129 is the nearest. Now subtract 3129 from 3530 to get reminder 401. Add 7 to quotient.

$$\begin{array}{l}\phantom{447)}0017\phantom{8}\\447\overline{)8000}\\\phantom{447)}\underline{\phantom{}447\phantom{9}}\\\phantom{447)}3530\\\phantom{447)}\underline{\phantom{}3129\phantom{}}\\\phantom{447)9}401\\\end{array}$$

Since 401 is less than 447, stop the division. The reminder is 401. The topmost line 0017 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 17.

$$\text{Quotient: }17 \text{Reminder: }401$$

Factor

$$\frac{2 ^ {6} \cdot 5 ^ {3}}{3 \cdot 149} = 17\frac{401}{447} = 17.89709172259508$$