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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 739 · 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. 1.20513 ÷ 89 =
  2. 2.35084 ÷ 97 =
  3. 3.98611 ÷ 97 =
  4. 4.204472 ÷ 998 =
  5. 5.66033 ÷ 88 =
  6. 6.68131 ÷ 89 =
  7. 7.91592 ÷ 96 =
  8. 8.34401 ÷ 98 =
  9. 9.29948 ÷ 88 =
  10. 10.4118 ÷ 88 =
  11. 11.807953 ÷ 997 =
  12. 12.23658 ÷ 97 =
  13. 13.411603 ÷ 897 =
  14. 14.385953 ÷ 989 =
  15. 15.33142 ÷ 98 =
  16. 16.67345 ÷ 89 =
  17. 17.821787 ÷ 897 =
  18. 18.335254 ÷ 989 =
  19. 19.77155 ÷ 98 =
  20. 20.68854 ÷ 88 =
  21. 21.25100 ÷ 97 =
  22. 22.332959 ÷ 897 =
  23. 23.7721 ÷ 88 =
  24. 24.346428 ÷ 998 =
  25. 25.1936 ÷ 8 =
  26. 26.260514 ÷ 988 =
  27. 27.935111 ÷ 897 =
  28. 28.26978 ÷ 96 =
  29. 29.739908 ÷ 997 =
  30. 30.73994 ÷ 96 =
  31. 31.1749 ÷ 89 =
  32. 32.52916 ÷ 988 =
  33. 33.74058 ÷ 98 =
  34. 34.398765 ÷ 989 =
  35. 35.62035 ÷ 97 =
  36. 36.482288 ÷ 897 =
  37. 37.975669 ÷ 997 =
  38. 38.40037 ÷ 88 =
  39. 39.321370 ÷ 998 =
  40. 40.99703 ÷ 96 =

Answer key

  1. 230 rem 43
  2. 361 rem 67
  3. 1016 rem 59
  4. 204 rem 880
  5. 750 rem 33
  6. 765 rem 46
  7. 954 rem 8
  8. 351 rem 3
  9. 340 rem 28
  10. 46 rem 70
  11. 810 rem 383
  12. 243 rem 87
  13. 458 rem 777
  14. 390 rem 243
  15. 338 rem 18
  16. 756 rem 61
  17. 916 rem 135
  18. 338 rem 972
  19. 787 rem 29
  20. 782 rem 38
  21. 258 rem 74
  22. 371 rem 172
  23. 87 rem 65
  24. 347 rem 122
  25. 242 rem 0
  26. 263 rem 670
  27. 1042 rem 437
  28. 281 rem 2
  29. 742 rem 134
  30. 770 rem 74
  31. 19 rem 58
  32. 53 rem 552
  33. 755 rem 68
  34. 403 rem 198
  35. 639 rem 52
  36. 537 rem 599
  37. 978 rem 603
  38. 454 rem 85
  39. 322 rem 14
  40. 1038 rem 55

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