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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 294 · 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. 1.62793 ÷ 89 =
  2. 2.9552 ÷ 8 =
  3. 3.18060 ÷ 98 =
  4. 4.62632 ÷ 96 =
  5. 5.29213 ÷ 88 =
  6. 6.37232 ÷ 96 =
  7. 7.4285 ÷ 89 =
  8. 8.491853 ÷ 897 =
  9. 9.94680 ÷ 96 =
  10. 10.619145 ÷ 897 =
  11. 11.271402 ÷ 997 =
  12. 12.96633 ÷ 88 =
  13. 13.87023 ÷ 89 =
  14. 14.749555 ÷ 998 =
  15. 15.752657 ÷ 988 =
  16. 16.6624 ÷ 8 =
  17. 17.1475 ÷ 98 =
  18. 18.565596 ÷ 988 =
  19. 19.514540 ÷ 998 =
  20. 20.408427 ÷ 997 =
  21. 21.60865 ÷ 98 =
  22. 22.821042 ÷ 988 =
  23. 23.3072 ÷ 97 =
  24. 24.16348 ÷ 97 =
  25. 25.255 ÷ 8 =
  26. 26.41998 ÷ 97 =
  27. 27.7714 ÷ 8 =
  28. 28.88721 ÷ 98 =
  29. 29.6438 ÷ 8 =
  30. 30.89209 ÷ 98 =
  31. 31.216395 ÷ 997 =
  32. 32.16567 ÷ 98 =
  33. 33.598503 ÷ 989 =
  34. 34.2916 ÷ 8 =
  35. 35.29615 ÷ 88 =
  36. 36.4937 ÷ 8 =
  37. 37.56892 ÷ 89 =
  38. 38.8219 ÷ 8 =
  39. 39.51739 ÷ 89 =
  40. 40.754677 ÷ 989 =

Answer key

  1. 705 rem 48
  2. 1194 rem 0
  3. 184 rem 28
  4. 652 rem 40
  5. 331 rem 85
  6. 387 rem 80
  7. 48 rem 13
  8. 548 rem 297
  9. 986 rem 24
  10. 690 rem 215
  11. 272 rem 218
  12. 1098 rem 9
  13. 977 rem 70
  14. 751 rem 57
  15. 761 rem 789
  16. 828 rem 0
  17. 15 rem 5
  18. 572 rem 460
  19. 515 rem 570
  20. 409 rem 654
  21. 621 rem 7
  22. 831 rem 14
  23. 31 rem 65
  24. 168 rem 52
  25. 31 rem 7
  26. 432 rem 94
  27. 964 rem 2
  28. 905 rem 31
  29. 804 rem 6
  30. 910 rem 29
  31. 217 rem 46
  32. 169 rem 5
  33. 605 rem 158
  34. 364 rem 4
  35. 336 rem 47
  36. 617 rem 1
  37. 639 rem 21
  38. 1027 rem 3
  39. 581 rem 30
  40. 763 rem 70

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