Question

divide
6\overline{)106.68}

Explanation:

Step1: Divide 10 by 6

6 goes into 10 once, with a remainder of 4. Write 1 above the tens place.
$$10 \div 6 = 1 \text{ remainder } 4$$

Step2: Bring down the 6

Now we have 46. Divide 46 by 6. 6 goes into 46 seven times (6*7=42), remainder 4. Write 7 above the ones place.
$$46 \div 6 = 7 \text{ remainder } 4$$

Step3: Bring down the decimal and the 6

Now we have 4.6. Divide 4.6 by 6. Wait, 4.6 is less than 6, so we write 0 above the tenths place. Then bring down the 8 to make 46.8.

Step4: Divide 46.8 by 6

6 goes into 46.8 seven times (67.8=46.8? Wait, 67=42, 46.8-42=4.8, 4.8/6=0.8. So total is 17.78? Wait, let's do it properly.

Wait, the number is 106.68 divided by 6.

106.68 ÷ 6:

First, 6 into 1 (hundreds place) is 0, so we look at 10 (tens and hundreds). 6 into 10 is 1 (1*6=6), subtract 6 from 10, get 4. Bring down the 6 (ones place) to make 46.

6 into 46: 7 (7*6=42), subtract 42 from 46, get 4. Now, bring down the decimal point and the 6 (tenths place) to make 4.6.

6 into 4.6: 0 (since 4.6 < 6), so we write 0 in the tenths place. Then bring down the 8 (hundredths place) to make 46.8.

6 into 46.8: 7 (76=42), subtract 42 from 46.8, get 4.8. Wait, no, 67.8=46.8? Wait, 6*7=42, 46.8-42=4.8, 4.8/6=0.8, so 7+0.8=7.8? Wait, no, let's do it step by step.

106.68 ÷ 6:

Break it down:

100 ÷ 6 = 16.666..., but we have 106.68.

Alternatively, 6*17 = 102, 106.68 - 102 = 4.68. Then 4.68 ÷ 6 = 0.78. So total is 17 + 0.78 = 17.78.

Wait, let's check: 617.78 = 617 + 6*0.78 = 102 + 4.68 = 106.68. Yes, that's correct.

So step by step:

1. 6 into 10 (the first two digits of 106.68) is 1 (1*6=6), remainder 4. Write 1 above the tens place.
2. Bring down the 6 (ones place) to make 46. 6 into 46 is 7 (7*6=42), remainder 4. Write 7 above the ones place.
3. Now, we have a remainder of 4, and we bring down the decimal point and the 6 (tenths place) to make 4.6. Since 4.6 < 6, we write 0 above the tenths place. Then bring down the 8 (hundredths place) to make 46.8.
4. 6 into 46.8: 7 (76=42), remainder 4.8. Wait, no, 46.8 ÷ 6 = 7.8 (because 67.8=46.8). Wait, maybe I messed up the decimal. Let's do it as decimal division:

106.68 ÷ 6:

• 6 goes into 106 (the whole number part) how many times? 6*17=102, 106-102=4. So 17 with a remainder of 4.
• Now, bring down the 6 (from the tenths place) to make 4.6 (since we have a decimal, it's 4.6).
• 4.6 ÷ 6 = 0.7 (6*0.7=4.2), remainder 0.4.
• Bring down the 8 (hundredths place) to make 4.8.
• 4.8 ÷ 6 = 0.8.
• So total is 17 + 0.7 + 0.08 = 17.78.

Yes, that's correct. So 106.68 ÷ 6 = 17.78.

Answer:

17.78