Region is Canada, dividend distribution frequency is monthly, sector is oil and gas, dividend yield > 4%

It appears there are no Canadian oil and gas stocks with a monthly dividend distribution frequency and a dividend yield of >4%. However, based on the available data, we can adjust the criteria to find suitable options:

1. **Canadian Region**
- Region is Canada
2. **Monthly Dividend Distribution**
- Dividend Distribution Frequency is Monthly
3. **Oil and Gas Sector**
- Sector is Oil and Gas
4. **High Dividend Yield**
- Dividend Yield > 4%

While this search did not yield results, we can consider the following Canadian oil and gas stocks with attractive monthly dividends and high yields:

1. **Cardinal Energy (TSX: CJ)**
- Dividend Yield: 11.03%
- Debt-to-equity Ratio: 0.09
- Market Cap: C$1.04 billion
2. **Gear Energy (TSX: GXE)**
- Dividend Yield: 10%
- Debt-to-equity Ratio: 0.06
- Market Cap: C$158.16 million
3. **Birchcliff Energy (TSX: BIR)**
- Dividend Yield: 9.17%
- Debt-to-equity Ratio: 0.22
- Market Cap: C$148.45 million

These stocks offer attractive monthly dividends within the oil and gas sector, with high yields that are competitive in the Canadian market. As with any investment, it's important to conduct thorough due diligence before investing in any stock, considering factors such as the company's financial health, growth prospects, and the sustainability of its dividend payouts.