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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 280 · 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. 1.5457 ÷ 97 =
  2. 2.82624 ÷ 997 =
  3. 3.72978 ÷ 988 =
  4. 4.582884 ÷ 997 =
  5. 5.25955 ÷ 89 =
  6. 6.263744 ÷ 997 =
  7. 7.48305 ÷ 96 =
  8. 8.702085 ÷ 989 =
  9. 9.790493 ÷ 997 =
  10. 10.564834 ÷ 989 =
  11. 11.50991 ÷ 98 =
  12. 12.19900 ÷ 96 =
  13. 13.324705 ÷ 998 =
  14. 14.851729 ÷ 897 =
  15. 15.366594 ÷ 989 =
  16. 16.66035 ÷ 897 =
  17. 17.76985 ÷ 89 =
  18. 18.72741 ÷ 98 =
  19. 19.146402 ÷ 997 =
  20. 20.514350 ÷ 897 =
  21. 21.62625 ÷ 89 =
  22. 22.5923 ÷ 88 =
  23. 23.19189 ÷ 97 =
  24. 24.3296 ÷ 8 =
  25. 25.361235 ÷ 897 =
  26. 26.932169 ÷ 989 =
  27. 27.1768 ÷ 8 =
  28. 28.40834 ÷ 97 =
  29. 29.367407 ÷ 998 =
  30. 30.413853 ÷ 997 =
  31. 31.40095 ÷ 98 =
  32. 32.63498 ÷ 97 =
  33. 33.80638 ÷ 96 =
  34. 34.61220 ÷ 98 =
  35. 35.44014 ÷ 97 =
  36. 36.618660 ÷ 897 =
  37. 37.451764 ÷ 897 =
  38. 38.422922 ÷ 989 =
  39. 39.6397 ÷ 97 =
  40. 40.14164 ÷ 96 =

Answer key

  1. 56 rem 25
  2. 82 rem 870
  3. 73 rem 854
  4. 584 rem 636
  5. 291 rem 56
  6. 264 rem 536
  7. 503 rem 17
  8. 709 rem 884
  9. 792 rem 869
  10. 571 rem 115
  11. 520 rem 31
  12. 207 rem 28
  13. 325 rem 355
  14. 949 rem 476
  15. 370 rem 664
  16. 73 rem 554
  17. 865 rem 0
  18. 742 rem 25
  19. 146 rem 840
  20. 573 rem 369
  21. 703 rem 58
  22. 67 rem 27
  23. 197 rem 80
  24. 412 rem 0
  25. 402 rem 641
  26. 942 rem 531
  27. 221 rem 0
  28. 420 rem 94
  29. 368 rem 143
  30. 415 rem 98
  31. 409 rem 13
  32. 654 rem 60
  33. 839 rem 94
  34. 624 rem 68
  35. 453 rem 73
  36. 689 rem 627
  37. 503 rem 573
  38. 427 rem 619
  39. 65 rem 92
  40. 147 rem 52

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