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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 800 · 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. 1.58504 ÷ 98 =
  2. 2.62746 ÷ 96 =
  3. 3.6855 ÷ 96 =
  4. 4.510526 ÷ 997 =
  5. 5.1485 ÷ 8 =
  6. 6.246880 ÷ 988 =
  7. 7.6759 ÷ 8 =
  8. 8.222485 ÷ 988 =
  9. 9.377023 ÷ 989 =
  10. 10.92898 ÷ 97 =
  11. 11.771750 ÷ 989 =
  12. 12.873783 ÷ 988 =
  13. 13.706233 ÷ 998 =
  14. 14.95303 ÷ 97 =
  15. 15.827697 ÷ 998 =
  16. 16.22553 ÷ 88 =
  17. 17.59802 ÷ 88 =
  18. 18.969318 ÷ 998 =
  19. 19.92089 ÷ 88 =
  20. 20.5010 ÷ 8 =
  21. 21.76341 ÷ 97 =
  22. 22.8440 ÷ 8 =
  23. 23.300670 ÷ 897 =
  24. 24.934795 ÷ 997 =
  25. 25.64802 ÷ 96 =
  26. 26.48650 ÷ 98 =
  27. 27.912836 ÷ 997 =
  28. 28.5832 ÷ 8 =
  29. 29.57763 ÷ 96 =
  30. 30.12608 ÷ 96 =
  31. 31.531942 ÷ 988 =
  32. 32.22944 ÷ 98 =
  33. 33.77366 ÷ 98 =
  34. 34.485854 ÷ 997 =
  35. 35.24568 ÷ 89 =
  36. 36.190532 ÷ 998 =
  37. 37.511821 ÷ 998 =
  38. 38.71030 ÷ 96 =
  39. 39.9348 ÷ 8 =
  40. 40.554587 ÷ 998 =

Answer key

  1. 596 rem 96
  2. 653 rem 58
  3. 71 rem 39
  4. 512 rem 62
  5. 185 rem 5
  6. 249 rem 868
  7. 844 rem 7
  8. 225 rem 185
  9. 381 rem 214
  10. 957 rem 69
  11. 780 rem 330
  12. 884 rem 391
  13. 707 rem 647
  14. 982 rem 49
  15. 829 rem 355
  16. 256 rem 25
  17. 679 rem 50
  18. 971 rem 260
  19. 1046 rem 41
  20. 626 rem 2
  21. 787 rem 2
  22. 1055 rem 0
  23. 335 rem 175
  24. 937 rem 606
  25. 675 rem 2
  26. 496 rem 42
  27. 915 rem 581
  28. 729 rem 0
  29. 601 rem 67
  30. 131 rem 32
  31. 538 rem 398
  32. 234 rem 12
  33. 789 rem 44
  34. 487 rem 315
  35. 276 rem 4
  36. 190 rem 912
  37. 512 rem 845
  38. 739 rem 86
  39. 1168 rem 4
  40. 555 rem 697

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