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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 228 · 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. 1.178723 ÷ 988 =
  2. 2.595839 ÷ 988 =
  3. 3.450765 ÷ 997 =
  4. 4.94898 ÷ 98 =
  5. 5.40507 ÷ 97 =
  6. 6.48827 ÷ 89 =
  7. 7.34667 ÷ 97 =
  8. 8.81951 ÷ 89 =
  9. 9.80332 ÷ 89 =
  10. 10.2772 ÷ 88 =
  11. 11.321697 ÷ 988 =
  12. 12.60574 ÷ 98 =
  13. 13.15472 ÷ 97 =
  14. 14.77277 ÷ 96 =
  15. 15.55002 ÷ 98 =
  16. 16.76787 ÷ 96 =
  17. 17.218564 ÷ 998 =
  18. 18.437718 ÷ 997 =
  19. 19.235853 ÷ 989 =
  20. 20.931729 ÷ 897 =
  21. 21.739109 ÷ 989 =
  22. 22.198844 ÷ 988 =
  23. 23.440662 ÷ 989 =
  24. 24.14493 ÷ 89 =
  25. 25.491918 ÷ 997 =
  26. 26.90365 ÷ 998 =
  27. 27.65275 ÷ 97 =
  28. 28.1123 ÷ 8 =
  29. 29.77400 ÷ 88 =
  30. 30.9421 ÷ 8 =
  31. 31.17685 ÷ 97 =
  32. 32.5696 ÷ 97 =
  33. 33.57077 ÷ 96 =
  34. 34.89856 ÷ 88 =
  35. 35.93809 ÷ 988 =
  36. 36.72251 ÷ 97 =
  37. 37.494149 ÷ 998 =
  38. 38.762553 ÷ 989 =
  39. 39.314499 ÷ 989 =
  40. 40.7997 ÷ 96 =

Answer key

  1. 180 rem 883
  2. 603 rem 75
  3. 452 rem 121
  4. 968 rem 34
  5. 417 rem 58
  6. 548 rem 55
  7. 357 rem 38
  8. 920 rem 71
  9. 902 rem 54
  10. 31 rem 44
  11. 325 rem 597
  12. 618 rem 10
  13. 159 rem 49
  14. 804 rem 93
  15. 561 rem 24
  16. 799 rem 83
  17. 219 rem 2
  18. 439 rem 35
  19. 238 rem 471
  20. 1038 rem 643
  21. 747 rem 326
  22. 201 rem 256
  23. 445 rem 557
  24. 162 rem 75
  25. 493 rem 397
  26. 90 rem 545
  27. 672 rem 91
  28. 140 rem 3
  29. 879 rem 48
  30. 1177 rem 5
  31. 182 rem 31
  32. 58 rem 70
  33. 594 rem 53
  34. 1021 rem 8
  35. 94 rem 937
  36. 744 rem 83
  37. 495 rem 139
  38. 771 rem 34
  39. 317 rem 986
  40. 83 rem 29

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