Solve 3690div82

$$3690 \div 82$$

Evaluate

$$45$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3690

$$\begin{array}{l}\phantom{82)}\phantom{1}\\82\overline{)3690}\\\end{array}$$

Since 3 is less than 82, use the next digit 6 from dividend 3690 and add 0 to the quotient

$$\begin{array}{l}\phantom{82)}0\phantom{2}\\82\overline{)3690}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 3690

$$\begin{array}{l}\phantom{82)}0\phantom{3}\\82\overline{)3690}\\\end{array}$$

Since 36 is less than 82, use the next digit 9 from dividend 3690 and add 0 to the quotient

$$\begin{array}{l}\phantom{82)}00\phantom{4}\\82\overline{)3690}\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 3690

$$\begin{array}{l}\phantom{82)}00\phantom{5}\\82\overline{)3690}\\\end{array}$$

Find closest multiple of 82 to 369. We see that 4 \times 82 = 328 is the nearest. Now subtract 328 from 369 to get reminder 41. Add 4 to quotient.

$$\begin{array}{l}\phantom{82)}004\phantom{6}\\82\overline{)3690}\\\phantom{82)}\underline{\phantom{}328\phantom{9}}\\\phantom{82)9}41\\\end{array}$$

Use the 4^{th} digit 0 from dividend 3690

$$\begin{array}{l}\phantom{82)}004\phantom{7}\\82\overline{)3690}\\\phantom{82)}\underline{\phantom{}328\phantom{9}}\\\phantom{82)9}410\\\end{array}$$

Find closest multiple of 82 to 410. We see that 5 \times 82 = 410 is the nearest. Now subtract 410 from 410 to get reminder 0. Add 5 to quotient.

$$\begin{array}{l}\phantom{82)}0045\phantom{8}\\82\overline{)3690}\\\phantom{82)}\underline{\phantom{}328\phantom{9}}\\\phantom{82)9}410\\\phantom{82)}\underline{\phantom{9}410\phantom{}}\\\phantom{82)9999}0\\\end{array}$$

Since 0 is less than 82, stop the division. The reminder is 0. The topmost line 0045 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 45.

$$\text{Quotient: }45 \text{Reminder: }0$$

Factor

$$3^{2}\times 5$$