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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 633 · 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. 1.2847 ÷ 89 =
  2. 2.10788 ÷ 97 =
  3. 3.144686 ÷ 988 =
  4. 4.66936 ÷ 97 =
  5. 5.4835 ÷ 8 =
  6. 6.335812 ÷ 988 =
  7. 7.33004 ÷ 88 =
  8. 8.299869 ÷ 989 =
  9. 9.95622 ÷ 89 =
  10. 10.572 ÷ 8 =
  11. 11.949638 ÷ 897 =
  12. 12.801379 ÷ 998 =
  13. 13.236227 ÷ 989 =
  14. 14.359484 ÷ 988 =
  15. 15.76453 ÷ 998 =
  16. 16.410396 ÷ 989 =
  17. 17.372456 ÷ 897 =
  18. 18.21951 ÷ 97 =
  19. 19.15133 ÷ 96 =
  20. 20.39350 ÷ 96 =
  21. 21.404896 ÷ 897 =
  22. 22.4568 ÷ 8 =
  23. 23.53246 ÷ 997 =
  24. 24.1548 ÷ 8 =
  25. 25.2287 ÷ 8 =
  26. 26.317540 ÷ 998 =
  27. 27.29350 ÷ 88 =
  28. 28.924131 ÷ 989 =
  29. 29.130529 ÷ 997 =
  30. 30.274301 ÷ 988 =
  31. 31.13138 ÷ 88 =
  32. 32.99675 ÷ 96 =
  33. 33.267616 ÷ 897 =
  34. 34.296833 ÷ 897 =
  35. 35.85333 ÷ 89 =
  36. 36.96421 ÷ 897 =
  37. 37.70136 ÷ 97 =
  38. 38.13475 ÷ 88 =
  39. 39.622024 ÷ 998 =
  40. 40.709086 ÷ 998 =

Answer key

  1. 31 rem 88
  2. 111 rem 21
  3. 146 rem 438
  4. 690 rem 6
  5. 604 rem 3
  6. 339 rem 880
  7. 375 rem 4
  8. 303 rem 202
  9. 1074 rem 36
  10. 71 rem 4
  11. 1058 rem 612
  12. 802 rem 983
  13. 238 rem 845
  14. 363 rem 840
  15. 76 rem 605
  16. 414 rem 950
  17. 415 rem 201
  18. 226 rem 29
  19. 157 rem 61
  20. 409 rem 86
  21. 451 rem 349
  22. 571 rem 0
  23. 53 rem 405
  24. 193 rem 4
  25. 285 rem 7
  26. 318 rem 176
  27. 333 rem 46
  28. 934 rem 405
  29. 130 rem 919
  30. 277 rem 625
  31. 149 rem 26
  32. 1038 rem 27
  33. 298 rem 310
  34. 330 rem 823
  35. 958 rem 71
  36. 107 rem 442
  37. 723 rem 5
  38. 153 rem 11
  39. 623 rem 270
  40. 710 rem 506

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