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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 482 · 40 sums
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The trick (Nikhilam Navatashcaramam Dashatah): Write the complement of the divisor (8 → 2, 97 → 03, 88 → 12, 997 → 003, 897 → 103). Split off as many last digits as the base has zeros (1 for 8, 2 for 88, 3 for 997) — that is the remainder part. Bring down each column total, multiply it by the complement, and add the result under the next column(s). If the remainder is not smaller than the divisor, divide it again and add to the quotient.

NameDateTime takenScore ___ / 40
  1. 1.431970 ÷ 897 =
  2. 2.2574 ÷ 8 =
  3. 3.31448 ÷ 98 =
  4. 4.3394 ÷ 88 =
  5. 5.68180 ÷ 88 =
  6. 6.7338 ÷ 8 =
  7. 7.37502 ÷ 89 =
  8. 8.9981 ÷ 8 =
  9. 9.380 ÷ 8 =
  10. 10.17971 ÷ 96 =
  11. 11.130536 ÷ 997 =
  12. 12.500559 ÷ 989 =
  13. 13.209436 ÷ 998 =
  14. 14.153580 ÷ 997 =
  15. 15.278603 ÷ 998 =
  16. 16.175223 ÷ 897 =
  17. 17.227585 ÷ 997 =
  18. 18.109129 ÷ 988 =
  19. 19.35162 ÷ 97 =
  20. 20.62484 ÷ 98 =
  21. 21.922888 ÷ 897 =
  22. 22.9963 ÷ 8 =
  23. 23.987476 ÷ 997 =
  24. 24.12484 ÷ 98 =
  25. 25.1601 ÷ 8 =
  26. 26.3699 ÷ 96 =
  27. 27.95478 ÷ 98 =
  28. 28.59038 ÷ 89 =
  29. 29.178419 ÷ 989 =
  30. 30.19092 ÷ 96 =
  31. 31.2051 ÷ 89 =
  32. 32.3319 ÷ 98 =
  33. 33.525211 ÷ 988 =
  34. 34.102586 ÷ 988 =
  35. 35.92847 ÷ 98 =
  36. 36.29707 ÷ 89 =
  37. 37.33923 ÷ 98 =
  38. 38.58277 ÷ 96 =
  39. 39.72633 ÷ 96 =
  40. 40.860138 ÷ 998 =

Answer key

  1. 481 rem 513
  2. 321 rem 6
  3. 320 rem 88
  4. 38 rem 50
  5. 774 rem 68
  6. 917 rem 2
  7. 421 rem 33
  8. 1247 rem 5
  9. 47 rem 4
  10. 187 rem 19
  11. 130 rem 926
  12. 506 rem 125
  13. 209 rem 854
  14. 154 rem 42
  15. 279 rem 161
  16. 195 rem 308
  17. 228 rem 269
  18. 110 rem 449
  19. 362 rem 48
  20. 637 rem 58
  21. 1028 rem 772
  22. 1245 rem 3
  23. 990 rem 446
  24. 127 rem 38
  25. 200 rem 1
  26. 38 rem 51
  27. 974 rem 26
  28. 663 rem 31
  29. 180 rem 399
  30. 198 rem 84
  31. 23 rem 4
  32. 33 rem 85
  33. 531 rem 583
  34. 103 rem 822
  35. 947 rem 41
  36. 333 rem 70
  37. 346 rem 15
  38. 607 rem 5
  39. 756 rem 57
  40. 861 rem 860

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