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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 647 · 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. 1.430978 ÷ 988 =
  2. 2.44419 ÷ 89 =
  3. 3.971600 ÷ 998 =
  4. 4.52992 ÷ 97 =
  5. 5.5095 ÷ 8 =
  6. 6.80339 ÷ 96 =
  7. 7.66708 ÷ 96 =
  8. 8.506504 ÷ 897 =
  9. 9.835996 ÷ 998 =
  10. 10.9989 ÷ 97 =
  11. 11.299484 ÷ 989 =
  12. 12.53186 ÷ 97 =
  13. 13.18045 ÷ 96 =
  14. 14.87144 ÷ 988 =
  15. 15.501506 ÷ 998 =
  16. 16.347862 ÷ 998 =
  17. 17.62364 ÷ 88 =
  18. 18.89951 ÷ 98 =
  19. 19.28374 ÷ 98 =
  20. 20.148453 ÷ 988 =
  21. 21.839879 ÷ 897 =
  22. 22.74678 ÷ 97 =
  23. 23.567013 ÷ 989 =
  24. 24.976440 ÷ 897 =
  25. 25.967204 ÷ 998 =
  26. 26.721952 ÷ 897 =
  27. 27.31201 ÷ 89 =
  28. 28.4439 ÷ 8 =
  29. 29.433011 ÷ 988 =
  30. 30.9577 ÷ 98 =
  31. 31.104384 ÷ 988 =
  32. 32.79379 ÷ 96 =
  33. 33.747901 ÷ 989 =
  34. 34.80197 ÷ 998 =
  35. 35.431927 ÷ 997 =
  36. 36.89957 ÷ 88 =
  37. 37.28332 ÷ 98 =
  38. 38.63360 ÷ 89 =
  39. 39.14138 ÷ 98 =
  40. 40.447406 ÷ 897 =

Answer key

  1. 436 rem 210
  2. 499 rem 8
  3. 973 rem 546
  4. 546 rem 30
  5. 636 rem 7
  6. 836 rem 83
  7. 694 rem 84
  8. 564 rem 596
  9. 837 rem 670
  10. 102 rem 95
  11. 302 rem 806
  12. 548 rem 30
  13. 187 rem 93
  14. 88 rem 200
  15. 502 rem 510
  16. 348 rem 558
  17. 708 rem 60
  18. 917 rem 85
  19. 289 rem 52
  20. 150 rem 253
  21. 936 rem 287
  22. 769 rem 85
  23. 573 rem 316
  24. 1088 rem 504
  25. 969 rem 142
  26. 804 rem 764
  27. 350 rem 51
  28. 554 rem 7
  29. 438 rem 267
  30. 97 rem 71
  31. 105 rem 644
  32. 826 rem 83
  33. 756 rem 217
  34. 80 rem 357
  35. 433 rem 226
  36. 1022 rem 21
  37. 289 rem 10
  38. 711 rem 81
  39. 144 rem 26
  40. 498 rem 700

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