Solve 1600div94

$$1600 \div 94$$

Evaluate

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

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1600

$$\begin{array}{l}\phantom{94)}\phantom{1}\\94\overline{)1600}\\\end{array}$$

Since 1 is less than 94, use the next digit 6 from dividend 1600 and add 0 to the quotient

$$\begin{array}{l}\phantom{94)}0\phantom{2}\\94\overline{)1600}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 1600

$$\begin{array}{l}\phantom{94)}0\phantom{3}\\94\overline{)1600}\\\end{array}$$

Since 16 is less than 94, use the next digit 0 from dividend 1600 and add 0 to the quotient

$$\begin{array}{l}\phantom{94)}00\phantom{4}\\94\overline{)1600}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 1600

$$\begin{array}{l}\phantom{94)}00\phantom{5}\\94\overline{)1600}\\\end{array}$$

Find closest multiple of 94 to 160. We see that 1 \times 94 = 94 is the nearest. Now subtract 94 from 160 to get reminder 66. Add 1 to quotient.

$$\begin{array}{l}\phantom{94)}001\phantom{6}\\94\overline{)1600}\\\phantom{94)}\underline{\phantom{9}94\phantom{9}}\\\phantom{94)9}66\\\end{array}$$

Use the 4^{th} digit 0 from dividend 1600

$$\begin{array}{l}\phantom{94)}001\phantom{7}\\94\overline{)1600}\\\phantom{94)}\underline{\phantom{9}94\phantom{9}}\\\phantom{94)9}660\\\end{array}$$

Find closest multiple of 94 to 660. We see that 7 \times 94 = 658 is the nearest. Now subtract 658 from 660 to get reminder 2. Add 7 to quotient.

$$\begin{array}{l}\phantom{94)}0017\phantom{8}\\94\overline{)1600}\\\phantom{94)}\underline{\phantom{9}94\phantom{9}}\\\phantom{94)9}660\\\phantom{94)}\underline{\phantom{9}658\phantom{}}\\\phantom{94)999}2\\\end{array}$$

Since 2 is less than 94, stop the division. The reminder is 2. The topmost line 0017 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 17.

$$\text{Quotient: }17 \text{Reminder: }2$$

Factor

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