Solve 3304div31

$$3304 \div 31$$

Evaluate

$$\frac{3304}{31}\approx 106.580645161$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3304

$$\begin{array}{l}\phantom{31)}\phantom{1}\\31\overline{)3304}\\\end{array}$$

Since 3 is less than 31, use the next digit 3 from dividend 3304 and add 0 to the quotient

$$\begin{array}{l}\phantom{31)}0\phantom{2}\\31\overline{)3304}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 3304

$$\begin{array}{l}\phantom{31)}0\phantom{3}\\31\overline{)3304}\\\end{array}$$

Find closest multiple of 31 to 33. We see that 1 \times 31 = 31 is the nearest. Now subtract 31 from 33 to get reminder 2. Add 1 to quotient.

$$\begin{array}{l}\phantom{31)}01\phantom{4}\\31\overline{)3304}\\\phantom{31)}\underline{\phantom{}31\phantom{99}}\\\phantom{31)9}2\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 3304

$$\begin{array}{l}\phantom{31)}01\phantom{5}\\31\overline{)3304}\\\phantom{31)}\underline{\phantom{}31\phantom{99}}\\\phantom{31)9}20\\\end{array}$$

Since 20 is less than 31, use the next digit 4 from dividend 3304 and add 0 to the quotient

$$\begin{array}{l}\phantom{31)}010\phantom{6}\\31\overline{)3304}\\\phantom{31)}\underline{\phantom{}31\phantom{99}}\\\phantom{31)9}20\\\end{array}$$

Use the 4^{th} digit 4 from dividend 3304

$$\begin{array}{l}\phantom{31)}010\phantom{7}\\31\overline{)3304}\\\phantom{31)}\underline{\phantom{}31\phantom{99}}\\\phantom{31)9}204\\\end{array}$$

Find closest multiple of 31 to 204. We see that 6 \times 31 = 186 is the nearest. Now subtract 186 from 204 to get reminder 18. Add 6 to quotient.

$$\begin{array}{l}\phantom{31)}0106\phantom{8}\\31\overline{)3304}\\\phantom{31)}\underline{\phantom{}31\phantom{99}}\\\phantom{31)9}204\\\phantom{31)}\underline{\phantom{9}186\phantom{}}\\\phantom{31)99}18\\\end{array}$$

Since 18 is less than 31, stop the division. The reminder is 18. The topmost line 0106 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 106.

$$\text{Quotient: }106 \text{Reminder: }18$$

Factor

$$\frac{2 ^ {3} \cdot 7 \cdot 59}{31} = 106\frac{18}{31} = 106.58064516129032$$