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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 86 · 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. 1.61205 ÷ 997 =
  2. 2.151502 ÷ 989 =
  3. 3.91379 ÷ 88 =
  4. 4.554999 ÷ 897 =
  5. 5.47070 ÷ 98 =
  6. 6.824 ÷ 8 =
  7. 7.70096 ÷ 88 =
  8. 8.43735 ÷ 88 =
  9. 9.22506 ÷ 97 =
  10. 10.321882 ÷ 897 =
  11. 11.515584 ÷ 989 =
  12. 12.3415 ÷ 8 =
  13. 13.933089 ÷ 998 =
  14. 14.9004 ÷ 8 =
  15. 15.53272 ÷ 98 =
  16. 16.285804 ÷ 989 =
  17. 17.90560 ÷ 96 =
  18. 18.75299 ÷ 97 =
  19. 19.50928 ÷ 96 =
  20. 20.448054 ÷ 988 =
  21. 21.613195 ÷ 989 =
  22. 22.437093 ÷ 989 =
  23. 23.838171 ÷ 988 =
  24. 24.457720 ÷ 997 =
  25. 25.89438 ÷ 97 =
  26. 26.12612 ÷ 89 =
  27. 27.633062 ÷ 897 =
  28. 28.13140 ÷ 96 =
  29. 29.41201 ÷ 97 =
  30. 30.53214 ÷ 88 =
  31. 31.52261 ÷ 98 =
  32. 32.779035 ÷ 989 =
  33. 33.15420 ÷ 96 =
  34. 34.60212 ÷ 98 =
  35. 35.84060 ÷ 98 =
  36. 36.34414 ÷ 89 =
  37. 37.469918 ÷ 998 =
  38. 38.15584 ÷ 96 =
  39. 39.78086 ÷ 96 =
  40. 40.550164 ÷ 989 =

Answer key

  1. 61 rem 388
  2. 153 rem 185
  3. 1038 rem 35
  4. 618 rem 653
  5. 480 rem 30
  6. 103 rem 0
  7. 796 rem 48
  8. 496 rem 87
  9. 232 rem 2
  10. 358 rem 756
  11. 521 rem 315
  12. 426 rem 7
  13. 934 rem 957
  14. 1125 rem 4
  15. 543 rem 58
  16. 288 rem 972
  17. 943 rem 32
  18. 776 rem 27
  19. 530 rem 48
  20. 453 rem 490
  21. 620 rem 15
  22. 441 rem 944
  23. 848 rem 347
  24. 459 rem 97
  25. 922 rem 4
  26. 141 rem 63
  27. 705 rem 677
  28. 136 rem 84
  29. 424 rem 73
  30. 604 rem 62
  31. 533 rem 27
  32. 787 rem 692
  33. 160 rem 60
  34. 614 rem 40
  35. 857 rem 74
  36. 386 rem 60
  37. 470 rem 858
  38. 162 rem 32
  39. 813 rem 38
  40. 556 rem 280

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