Solve 3360div31

$$3360 \div 31$$

Evaluate

$$\frac{3360}{31}\approx 108.387096774$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3360

$$\begin{array}{l}\phantom{31)}\phantom{1}\\31\overline{)3360}\\\end{array}$$

Since 3 is less than 31, use the next digit 3 from dividend 3360 and add 0 to the quotient

$$\begin{array}{l}\phantom{31)}0\phantom{2}\\31\overline{)3360}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 3360

$$\begin{array}{l}\phantom{31)}0\phantom{3}\\31\overline{)3360}\\\end{array}$$

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.

$$\begin{array}{l}\phantom{31)}01\phantom{4}\\31\overline{)3360}\\\phantom{31)}\underline{\phantom{}31\phantom{99}}\\\phantom{31)9}2\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 3360

$$\begin{array}{l}\phantom{31)}01\phantom{5}\\31\overline{)3360}\\\phantom{31)}\underline{\phantom{}31\phantom{99}}\\\phantom{31)9}26\\\end{array}$$

Since 26 is less than 31, use the next digit 0 from dividend 3360 and add 0 to the quotient

$$\begin{array}{l}\phantom{31)}010\phantom{6}\\31\overline{)3360}\\\phantom{31)}\underline{\phantom{}31\phantom{99}}\\\phantom{31)9}26\\\end{array}$$

Use the 4^{th} digit 0 from dividend 3360

$$\begin{array}{l}\phantom{31)}010\phantom{7}\\31\overline{)3360}\\\phantom{31)}\underline{\phantom{}31\phantom{99}}\\\phantom{31)9}260\\\end{array}$$

Find closest multiple of 31 to 260. We see that 8 \times 31 = 248 is the nearest. Now subtract 248 from 260 to get reminder 12. Add 8 to quotient.

$$\begin{array}{l}\phantom{31)}0108\phantom{8}\\31\overline{)3360}\\\phantom{31)}\underline{\phantom{}31\phantom{99}}\\\phantom{31)9}260\\\phantom{31)}\underline{\phantom{9}248\phantom{}}\\\phantom{31)99}12\\\end{array}$$

Since 12 is less than 31, stop the division. The reminder is 12. The topmost line 0108 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 108.

$$\text{Quotient: }108 \text{Reminder: }12$$

Factor

$$\frac{2 ^ {5} \cdot 3 \cdot 5 \cdot 7}{31} = 108\frac{12}{31} = 108.38709677419355$$