Solve 899div429

$$899 \div 429$$

Evaluate

$$\frac{899}{429}\approx 2.095571096$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 899

$$\begin{array}{l}\phantom{429)}\phantom{1}\\429\overline{)899}\\\end{array}$$

Since 8 is less than 429, use the next digit 9 from dividend 899 and add 0 to the quotient

$$\begin{array}{l}\phantom{429)}0\phantom{2}\\429\overline{)899}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 899

$$\begin{array}{l}\phantom{429)}0\phantom{3}\\429\overline{)899}\\\end{array}$$

Since 89 is less than 429, use the next digit 9 from dividend 899 and add 0 to the quotient

$$\begin{array}{l}\phantom{429)}00\phantom{4}\\429\overline{)899}\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 899

$$\begin{array}{l}\phantom{429)}00\phantom{5}\\429\overline{)899}\\\end{array}$$

Find closest multiple of 429 to 899. We see that 2 \times 429 = 858 is the nearest. Now subtract 858 from 899 to get reminder 41. Add 2 to quotient.

$$\begin{array}{l}\phantom{429)}002\phantom{6}\\429\overline{)899}\\\phantom{429)}\underline{\phantom{}858\phantom{}}\\\phantom{429)9}41\\\end{array}$$

Since 41 is less than 429, stop the division. The reminder is 41. The topmost line 002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }41$$

Factor

$$\frac{29 \cdot 31}{3 \cdot 11 \cdot 13} = 2\frac{41}{429} = 2.0955710955710956$$