Solve 33000/31

$$\frac { 33000 } { 31 }$$

Evaluate

$$\frac{33000}{31}\approx 1064.516129032$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 33000

$$\begin{array}{l}\phantom{31)}\phantom{1}\\31\overline{)33000}\\\end{array}$$

Since 3 is less than 31, use the next digit 3 from dividend 33000 and add 0 to the quotient

$$\begin{array}{l}\phantom{31)}0\phantom{2}\\31\overline{)33000}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 33000

$$\begin{array}{l}\phantom{31)}0\phantom{3}\\31\overline{)33000}\\\end{array}$$

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.

$$\begin{array}{l}\phantom{31)}01\phantom{4}\\31\overline{)33000}\\\phantom{31)}\underline{\phantom{}31\phantom{999}}\\\phantom{31)9}2\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 33000

$$\begin{array}{l}\phantom{31)}01\phantom{5}\\31\overline{)33000}\\\phantom{31)}\underline{\phantom{}31\phantom{999}}\\\phantom{31)9}20\\\end{array}$$

Since 20 is less than 31, use the next digit 0 from dividend 33000 and add 0 to the quotient

$$\begin{array}{l}\phantom{31)}010\phantom{6}\\31\overline{)33000}\\\phantom{31)}\underline{\phantom{}31\phantom{999}}\\\phantom{31)9}20\\\end{array}$$

Use the 4^{th} digit 0 from dividend 33000

$$\begin{array}{l}\phantom{31)}010\phantom{7}\\31\overline{)33000}\\\phantom{31)}\underline{\phantom{}31\phantom{999}}\\\phantom{31)9}200\\\end{array}$$

Find closest multiple of 31 to 200. We see that 6 \times 31 = 186 is the nearest. Now subtract 186 from 200 to get reminder 14. Add 6 to quotient.

$$\begin{array}{l}\phantom{31)}0106\phantom{8}\\31\overline{)33000}\\\phantom{31)}\underline{\phantom{}31\phantom{999}}\\\phantom{31)9}200\\\phantom{31)}\underline{\phantom{9}186\phantom{9}}\\\phantom{31)99}14\\\end{array}$$

Use the 5^{th} digit 0 from dividend 33000

$$\begin{array}{l}\phantom{31)}0106\phantom{9}\\31\overline{)33000}\\\phantom{31)}\underline{\phantom{}31\phantom{999}}\\\phantom{31)9}200\\\phantom{31)}\underline{\phantom{9}186\phantom{9}}\\\phantom{31)99}140\\\end{array}$$

Find closest multiple of 31 to 140. We see that 4 \times 31 = 124 is the nearest. Now subtract 124 from 140 to get reminder 16. Add 4 to quotient.

$$\begin{array}{l}\phantom{31)}01064\phantom{10}\\31\overline{)33000}\\\phantom{31)}\underline{\phantom{}31\phantom{999}}\\\phantom{31)9}200\\\phantom{31)}\underline{\phantom{9}186\phantom{9}}\\\phantom{31)99}140\\\phantom{31)}\underline{\phantom{99}124\phantom{}}\\\phantom{31)999}16\\\end{array}$$

Since 16 is less than 31, stop the division. The reminder is 16. The topmost line 01064 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1064.

$$\text{Quotient: }1064 \text{Reminder: }16$$

Factor

$$\frac{2 ^ {3} \cdot 3 \cdot 5 ^ {3} \cdot 11}{31} = 1064\frac{16}{31} = 1064.516129032258$$