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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 155 · 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. 1.5633 ÷ 8 =
  2. 2.71594 ÷ 88 =
  3. 3.67786 ÷ 98 =
  4. 4.249253 ÷ 897 =
  5. 5.86424 ÷ 989 =
  6. 6.126120 ÷ 998 =
  7. 7.5228 ÷ 8 =
  8. 8.19668 ÷ 96 =
  9. 9.59534 ÷ 97 =
  10. 10.29152 ÷ 88 =
  11. 11.2986 ÷ 8 =
  12. 12.51824 ÷ 897 =
  13. 13.8116 ÷ 8 =
  14. 14.7538 ÷ 8 =
  15. 15.50419 ÷ 96 =
  16. 16.470773 ÷ 988 =
  17. 17.657757 ÷ 897 =
  18. 18.21018 ÷ 88 =
  19. 19.35657 ÷ 88 =
  20. 20.3607 ÷ 8 =
  21. 21.91955 ÷ 97 =
  22. 22.75961 ÷ 998 =
  23. 23.21589 ÷ 89 =
  24. 24.65832 ÷ 96 =
  25. 25.808729 ÷ 897 =
  26. 26.32203 ÷ 88 =
  27. 27.35487 ÷ 988 =
  28. 28.254494 ÷ 897 =
  29. 29.27974 ÷ 89 =
  30. 30.24896 ÷ 98 =
  31. 31.553038 ÷ 998 =
  32. 32.60893 ÷ 97 =
  33. 33.39555 ÷ 96 =
  34. 34.986928 ÷ 998 =
  35. 35.9108 ÷ 96 =
  36. 36.539024 ÷ 997 =
  37. 37.441155 ÷ 988 =
  38. 38.55977 ÷ 97 =
  39. 39.139606 ÷ 989 =
  40. 40.291230 ÷ 988 =

Answer key

  1. 704 rem 1
  2. 813 rem 50
  3. 691 rem 68
  4. 277 rem 784
  5. 87 rem 381
  6. 126 rem 372
  7. 653 rem 4
  8. 204 rem 84
  9. 613 rem 73
  10. 331 rem 24
  11. 373 rem 2
  12. 57 rem 695
  13. 1014 rem 4
  14. 942 rem 2
  15. 525 rem 19
  16. 476 rem 485
  17. 733 rem 256
  18. 238 rem 74
  19. 405 rem 17
  20. 450 rem 7
  21. 947 rem 96
  22. 76 rem 113
  23. 242 rem 51
  24. 685 rem 72
  25. 901 rem 532
  26. 365 rem 83
  27. 35 rem 907
  28. 283 rem 643
  29. 314 rem 28
  30. 254 rem 4
  31. 554 rem 146
  32. 627 rem 74
  33. 412 rem 3
  34. 988 rem 904
  35. 94 rem 84
  36. 540 rem 644
  37. 446 rem 507
  38. 577 rem 8
  39. 141 rem 157
  40. 294 rem 758

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