Question

1. 198.86 ÷ 6.1

Explanation:

Step1: Convert divisor to integer

Multiply both numerator and denominator by 10 to eliminate the decimal in the divisor: $198.86\times10 = 1988.6$, $6.1\times10 = 61$. So the problem becomes $1988.6\div61$.

Step2: Perform long division

Divide 1988.6 by 61. 61×32 = 1952, subtract 1952 from 1988.6: 1988.6 - 1952 = 36.6. Bring down a zero (making it 366.0), 61×6 = 366. So total is 32.6? Wait, no, wait. Wait, 61×32.6 = 61×32 + 61×0.6 = 1952 + 36.6 = 1988.6. But the handwritten answer is 32. Wait, maybe I miscalculated. Wait, 6.1×32 = 6.1×30 + 6.1×2 = 183 + 12.2 = 195.2. But 198.86 - 195.2 = 3.66. Oh, so the correct answer should be 32.6? But the handwritten is 32. Maybe a mistake. Wait, let's recalculate 198.86 ÷ 6.1.

Multiply numerator and denominator by 10: 1988.6 ÷ 61. Let's do 61 into 1988.6. 61×32 = 1952, 1988.6 - 1952 = 36.6. Now, 36.6 ÷ 61 = 0.6. So total is 32 + 0.6 = 32.6. Wait, but the handwritten is 32. Maybe the problem was 195.2 ÷ 6.1? Then 195.2 ÷ 6.1 = 32. But in the given problem, it's 198.86. So perhaps a typo, but following the calculation:

Wait, let's check 6.1 × 32.6 = 198.86. Yes. So the correct answer is 32.6? But the handwritten is 32. Maybe the problem was intended to be 195.2 ÷ 6.1, which is 32.

But according to the given numbers: 198.86 ÷ 6.1.

Let's do it step by step:

1. Move the decimal in 6.1 one place to the right to make it 61. Do the same to 198.86: 1988.6.

1. Now divide 1988.6 by 61.

1. 61×30 = 1830, 1988.6 - 1830 = 158.6

1. 61×2 = 122, 158.6 - 122 = 36.6

1. 36.6 ÷ 61 = 0.6. So total is 30 + 2 + 0.6 = 32.6.

But the handwritten answer is 32. Maybe there's a mistake in the problem or the handwritten answer. But if we follow the calculation, 198.86 ÷ 6.1 = 32.6. Wait, no, wait 6.1 × 32.6 = 198.86. Yes. So the correct answer is 32.6? But the handwritten is 32. Maybe the problem was 195.2 ÷ 6.1, which is 32.

Alternatively, maybe I made a mistake. Let's check with a calculator: 198.86 ÷ 6.1. Let's compute 198.86 ÷ 6.1. 6.1 × 32 = 195.2, 198.86 - 195.2 = 3.66. 3.66 ÷ 6.1 = 0.6. So 32.6. So the correct answer is 32.6. But the handwritten is 32. Maybe a miscalculation in the handwritten part.

But according to the problem as given, 198.86 ÷ 6.1.

Answer:

32.6 (Wait, but the handwritten is 32. Maybe the problem has a typo, but based on calculation, it's 32.6. Alternatively, if we consider that maybe the dividend is 195.2, then 195.2 ÷ 6.1 = 32. But in the given problem, it's 198.86. So perhaps the correct answer is 32.6. But let's recheck:

6.1 × 32 = 195.2

6.1 × 32.6 = 6.1×(32 + 0.6) = 6.1×32 + 6.1×0.6 = 195.2 + 3.66 = 198.86. Yes. So the correct answer is 32.6.