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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 112 · 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. 1.61358 ÷ 88 =
  2. 2.5305 ÷ 8 =
  3. 3.65058 ÷ 96 =
  4. 4.320054 ÷ 997 =
  5. 5.60821 ÷ 97 =
  6. 6.22829 ÷ 89 =
  7. 7.27320 ÷ 96 =
  8. 8.20693 ÷ 98 =
  9. 9.62122 ÷ 89 =
  10. 10.16211 ÷ 98 =
  11. 11.551059 ÷ 989 =
  12. 12.109094 ÷ 997 =
  13. 13.94675 ÷ 997 =
  14. 14.35414 ÷ 89 =
  15. 15.368731 ÷ 997 =
  16. 16.202436 ÷ 988 =
  17. 17.22825 ÷ 98 =
  18. 18.75682 ÷ 989 =
  19. 19.329548 ÷ 988 =
  20. 20.538645 ÷ 989 =
  21. 21.855801 ÷ 988 =
  22. 22.337955 ÷ 989 =
  23. 23.5453 ÷ 97 =
  24. 24.10647 ÷ 88 =
  25. 25.8294 ÷ 96 =
  26. 26.3289 ÷ 8 =
  27. 27.1250 ÷ 8 =
  28. 28.83719 ÷ 98 =
  29. 29.373616 ÷ 998 =
  30. 30.1485 ÷ 8 =
  31. 31.415743 ÷ 988 =
  32. 32.6676 ÷ 8 =
  33. 33.126671 ÷ 988 =
  34. 34.51568 ÷ 88 =
  35. 35.147332 ÷ 988 =
  36. 36.87630 ÷ 97 =
  37. 37.941485 ÷ 997 =
  38. 38.947948 ÷ 997 =
  39. 39.28167 ÷ 97 =
  40. 40.24759 ÷ 96 =

Answer key

  1. 697 rem 22
  2. 663 rem 1
  3. 677 rem 66
  4. 321 rem 17
  5. 627 rem 2
  6. 256 rem 45
  7. 284 rem 56
  8. 211 rem 15
  9. 698 rem 0
  10. 165 rem 41
  11. 557 rem 186
  12. 109 rem 421
  13. 94 rem 957
  14. 397 rem 81
  15. 369 rem 838
  16. 204 rem 884
  17. 232 rem 89
  18. 76 rem 518
  19. 333 rem 544
  20. 544 rem 629
  21. 866 rem 193
  22. 341 rem 706
  23. 56 rem 21
  24. 120 rem 87
  25. 86 rem 38
  26. 411 rem 1
  27. 156 rem 2
  28. 854 rem 27
  29. 374 rem 364
  30. 185 rem 5
  31. 420 rem 783
  32. 834 rem 4
  33. 128 rem 207
  34. 586 rem 0
  35. 149 rem 120
  36. 903 rem 39
  37. 944 rem 317
  38. 950 rem 798
  39. 290 rem 37
  40. 257 rem 87

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