Algorithm 1: Long Division

Step 1: Divide the first digit of the dividend (3) by the divisor (7). Since 3 is smaller than 7, we bring down the next digit (5) to form the new dividend, which is now 35. ___ 7 | 35 Step 2: Divide the first digit of the new dividend (3) by the divisor (7). The result is 0. Write this above the line, above the digit 5 in the dividend. ___ 7 | 35 - 0 Step 3: Multiply the divisor (7) by the quotient (0) and write the result (0) below the line, aligned with the digit 5 in the dividend. ___ 7 | 35 - 0 0 Step 4: Subtract the result (0) from the new dividend (35). The result is 35. Write this below the line. ___ 7 | 35 - 0 0 —– 35 Step 5: Bring down the next digit (5) to the right of the result (0). The new dividend is now 355. ___ 7 | 35 - 0 0 —– 35 5 Step 6: Divide the first two digits of the new dividend (35) by the divisor (7). The result is 5. Write this above the line, above the digit 5 in the dividend. ___ 7 | 35 - 0 0 —– 35 5 Step 7: Multiply the divisor (7) by the quotient (5) and write the result (35) below the line, aligned with the digit 5 in the dividend. ___ 7 | 35 - 0 0 —– 35 5 —– 35 Step 8: Subtract the result (35) from the new dividend (35). The result is 0. Write this below the line. ___ 7 | 35 - 0 0 —– 35 5 —– 35 0

The answer is 355 ÷ 7 = 51.

Algorithm 2: Repeated Subtraction

Step 1: Start with the dividend (355) and the divisor (7). Step 2: Subtract the divisor (7) from the dividend (355) as many times as possible until the result is less than the divisor. 355 - 7 = 348 348 - 7 = 341 341 - 7 = 334 334 - 7 = 327 327 - 7 = 320 320 - 7 = 313 313 - 7 = 306 306 - 7 = 299 299 - 7 = 292 292 - 7 = 285 285 - 7 = 278 278 - 7 = 271 271 - 7 = 264 264 - 7 = 257 257 - 7 = 250 250 - 7 = 243 243 - 7 = 236 236 - 7 = 229 229 - 7 = 222 222 - 7 = 215 215 - 7 = 208 208 - 7 = 201 201 - 7 = 194 194 - 7 = 187 187 - 7 = 180 180 - 7 = 173 173 - 7 = 166 166 - 7 = 159 159 - 7 = 152 152 - 7 = 145 145 - 7 = 138 138 - 7 = 131 131 - 7 = 124 124 - 7 = 117 117 - 7 = 110 110 - 7 = 103 103 - 7 = 96 96 - 7 = 89 89 - 7 = 82 82 - 7 = 75 75 - 7 = 68 68 - 7 = 61 61 - 7 = 54 54 - 7 = 47 47 - 7 = 40 40 - 7 = 33 33 - 7 = 26 26 - 7 = 19 19 - 7 = 12 12 - 7 = 5

Step 3: Count the number of times the divisor (7) was subtracted from the dividend (355). The result is 51.

The answer is 355 ÷ 7 = 51.