Solve using partial quotients. Write the remainder as a fraction. $$ 629 \div 4= $$

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To divide $$ 629 \div 4 $$ using the partial quotients method and express the remainder as a fraction, follow these steps:

### Step-by-Step Solution:

1. **Initial Division:**
   - **Find how many times 4 fits into 600:**
     $$
     4 \times 100 = 400
     $$
     $$
     629 - 400 = 229
     $$
     **Partial Quotient:** 100

2. **Next Division:**
   - **Find how many times 4 fits into 200:**
     $$
     4 \times 50 = 200
     $$
     $$
     229 - 200 = 29
     $$
     **Partial Quotient:** 50

3. **Subsequent Division:**
   - **Find how many times 4 fits into 20:**
     $$
     4 \times 5 = 20
     $$
     $$
     29 - 20 = 9
     $$
     **Partial Quotient:** 5

4. **Final Division:**
   - **Find how many times 4 fits into 8:**
     $$
     4 \times 2 = 8
     $$
     $$
     9 - 8 = 1
     $$
     **Partial Quotient:** 2

5. **Combine the Partial Quotients:**
   $$
   100 + 50 + 5 + 2 = 157
   $$
   - **Remainder:** 1

6. **Express the Remainder as a Fraction:**
   $$
   \text{Remainder} = \frac{1}{4}
   $$

### Final Answer:
$$
629 \div 4 = 157 \frac{1}{4}
$$
$$ 629 \div 4 = 157 \frac{1}{4} $$

Solve using partial quotients. Write the remainder as a fraction. \( 629 \div 4= \)

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