To find the quotient of 1363 divided by 25, we can perform the division:
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\( 25 \) goes into \( 136 \) (the first three digits of \( 1363 \)) \( 5 \) times, because \( 25 \times 5 = 125 \).
- Subtract \( 125 \) from \( 136 \), which gives us \( 11 \).
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Bring down the next digit, \( 3 \), to make it \( 113 \).
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\( 25 \) goes into \( 113 \) \( 4 \) times, because \( 25 \times 4 = 100 \).
- Subtract \( 100 \) from \( 113 \), which gives us \( 13 \).
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Now we have a remainder of \( 13 \). Bring down the last digit \( 0 \) (adding decimal places), to make it \( 130 \).
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\( 25 \) goes into \( 130 \) \( 5 \) times, because \( 25 \times 5 = 125 \).
- Subtract \( 125 \) from \( 130 \), which gives us \( 5 \).
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The next digit \( 0 \) can be added, making it \( 50 \).
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\( 25 \) goes into \( 50 \) \( 2 \) times, because \( 25 \times 2 = 50 \).
- Subtract \( 50 \) from \( 50 \), giving us \( 0 \) as the remainder.
So, when we put it all together, we have the quotient as \( 54.52 \).
Therefore, the answer is:
54.52