How to calculate 1205 divided by 5 using long division?

Division is a fundamental arithmetic operation where we calculate how many times a number (divisor or denominator) can fit into another number (dividend or numerator). In this case, we are dividing 1,205 (the dividend) by 5 (the divisor).

There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:

• 1,205 divided by 5 in decimal = 241
• 1,205 divided by 5 in fraction = 1,205/5
• 1,205 divided by 5 in percentage = 24,100%

What is the Quotient and Remainder of 1,205 divided by 5?

The quotient is calculated by dividing the dividend by the divisor, and the remainder is what's left over if the division doesn't result in a whole number. In this case, however, since 1,205 is a multiple of 5, there should be no remainder.

The quotient of 1,205 divided by 5 is 241, and the remainder is 0. Thus,

1,205 ÷ 5 = 241 R 0

When you divide One Thousand Two Hundred And Five by Five, the quotient is Two Hundred And Forty One, and the remainder is Zero.

Let's calculate 1,205 divided by 5 using long division

Step 1:

5	⟌	1	2	0	5

Step 2:

		0
5	⟌	1	2	0	5
	-	0
		1	2

Step 3:

		0	2
5	⟌	1	2	0	5
	-	0
		1	2
	-	1	0
			2

Step 4:

		0	2
5	⟌	1	2	0	5
	-	0
		1	2
	-	1	0
			2	0

Step 5:

		0	2	4
5	⟌	1	2	0	5
	-	0
		1	2
	-	1	0
			2	0
		-	2	0
				0

Step 6:

		0	2	4
5	⟌	1	2	0	5
	-	0
		1	2
	-	1	0
			2	0
		-	2	0
				0	5

Step 7:

		0	2	4	1
5	⟌	1	2	0	5
	-	0
		1	2
	-	1	0
			2	0
		-	2	0
				0	5
			-		5
					0

Verdict

The division of 1,205 by 5 results in a quotient of 241 and a remainder of 0, meaning 5 goes into 1,205 Two Hundred And Forty One times with 0 left over. Understanding this division process is crucial in both basic arithmetic and real-life applications where division is used, such as in financial calculations, data analysis, and everyday problem-solving.