Solve 800:47

$$800 : 47$$

Evaluate

$$\frac{800}{47}\approx 17.021276596$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 800

$$\begin{array}{l}\phantom{47)}\phantom{1}\\47\overline{)800}\\\end{array}$$

Since 8 is less than 47, use the next digit 0 from dividend 800 and add 0 to the quotient

$$\begin{array}{l}\phantom{47)}0\phantom{2}\\47\overline{)800}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 800

$$\begin{array}{l}\phantom{47)}0\phantom{3}\\47\overline{)800}\\\end{array}$$

Find closest multiple of 47 to 80. We see that 1 \times 47 = 47 is the nearest. Now subtract 47 from 80 to get reminder 33. Add 1 to quotient.

$$\begin{array}{l}\phantom{47)}01\phantom{4}\\47\overline{)800}\\\phantom{47)}\underline{\phantom{}47\phantom{9}}\\\phantom{47)}33\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 800

$$\begin{array}{l}\phantom{47)}01\phantom{5}\\47\overline{)800}\\\phantom{47)}\underline{\phantom{}47\phantom{9}}\\\phantom{47)}330\\\end{array}$$

Find closest multiple of 47 to 330. We see that 7 \times 47 = 329 is the nearest. Now subtract 329 from 330 to get reminder 1. Add 7 to quotient.

$$\begin{array}{l}\phantom{47)}017\phantom{6}\\47\overline{)800}\\\phantom{47)}\underline{\phantom{}47\phantom{9}}\\\phantom{47)}330\\\phantom{47)}\underline{\phantom{}329\phantom{}}\\\phantom{47)99}1\\\end{array}$$

Since 1 is less than 47, stop the division. The reminder is 1. The topmost line 017 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 17.

$$\text{Quotient: }17 \text{Reminder: }1$$

Factor

$$\frac{2 ^ {5} \cdot 5 ^ {2}}{47} = 17\frac{1}{47} = 17.02127659574468$$