
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
When dividing a six-digit number composed of identical digits by a four-digit number also composed of identical digits, the quotient is 233 with some remainder. After removing one digit from both the dividend and the divisor and performing the new division, the quotient remains the same, but the remainder decreases by 1000. Find these numbers.

Present the answer in LaTex format: \boxed{Your answer}
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