How to calculate 4200 divided by 25 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 4,200 (the dividend) by 25 (the divisor).

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

• 4,200 divided by 25 in decimal = 168
• 4,200 divided by 25 in fraction = 4,200/25
• 4,200 divided by 25 in percentage = 16,800%

What is the Quotient and Remainder of 4,200 divided by 25?

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 4,200 is a multiple of 25, there should be no remainder.

The quotient of 4,200 divided by 25 is 168, and the remainder is 0. Thus,

4,200 ÷ 25 = 168 R 0

When you divide Four Thousand Two Hundred by Twenty Five, the quotient is One Hundred And Sixty Eight, and the remainder is Zero.

Let's calculate 4,200 divided by 25 using long division

Step 1:

2	5	⟌	4	2	0	0

Step 2:

			0
2	5	⟌	4	2	0	0
		-	0
			4	2

Step 3:

			0	1
2	5	⟌	4	2	0	0
		-	0
			4	2
		-	2	5
			1	7

Step 4:

			0	1
2	5	⟌	4	2	0	0
		-	0
			4	2
		-	2	5
			1	7	0

Step 5:

			0	1	6
2	5	⟌	4	2	0	0
		-	0
			4	2
		-	2	5
			1	7	0
		-	1	5	0
				2	0

Step 6:

			0	1	6
2	5	⟌	4	2	0	0
		-	0
			4	2
		-	2	5
			1	7	0
		-	1	5	0
				2	0	0

Step 7:

			0	1	6	8
2	5	⟌	4	2	0	0
		-	0
			4	2
		-	2	5
			1	7	0
		-	1	5	0
				2	0	0
			-	2	0	0
						0

Verdict

The division of 4,200 by 25 results in a quotient of 168 and a remainder of 0, meaning 25 goes into 4,200 One Hundred And Sixty Eight 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.