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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 897 · 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. 1.48327 ÷ 89 =
  2. 2.81273 ÷ 96 =
  3. 3.95564 ÷ 96 =
  4. 4.791727 ÷ 997 =
  5. 5.2422 ÷ 8 =
  6. 6.363746 ÷ 988 =
  7. 7.7881 ÷ 88 =
  8. 8.4118 ÷ 8 =
  9. 9.57103 ÷ 97 =
  10. 10.887218 ÷ 897 =
  11. 11.534351 ÷ 997 =
  12. 12.86744 ÷ 98 =
  13. 13.554386 ÷ 988 =
  14. 14.8782 ÷ 98 =
  15. 15.28630 ÷ 96 =
  16. 16.2553 ÷ 8 =
  17. 17.180668 ÷ 897 =
  18. 18.346835 ÷ 897 =
  19. 19.617073 ÷ 998 =
  20. 20.16504 ÷ 96 =
  21. 21.347584 ÷ 897 =
  22. 22.68476 ÷ 96 =
  23. 23.31579 ÷ 89 =
  24. 24.814584 ÷ 989 =
  25. 25.248419 ÷ 997 =
  26. 26.376365 ÷ 989 =
  27. 27.221792 ÷ 998 =
  28. 28.652102 ÷ 989 =
  29. 29.97906 ÷ 997 =
  30. 30.56941 ÷ 98 =
  31. 31.850535 ÷ 989 =
  32. 32.99060 ÷ 97 =
  33. 33.175118 ÷ 997 =
  34. 34.6348 ÷ 98 =
  35. 35.95506 ÷ 96 =
  36. 36.8588 ÷ 8 =
  37. 37.5236 ÷ 8 =
  38. 38.5202 ÷ 8 =
  39. 39.743668 ÷ 988 =
  40. 40.8164 ÷ 96 =

Answer key

  1. 543 rem 0
  2. 846 rem 57
  3. 995 rem 44
  4. 794 rem 109
  5. 302 rem 6
  6. 368 rem 162
  7. 89 rem 49
  8. 514 rem 6
  9. 588 rem 67
  10. 989 rem 85
  11. 535 rem 956
  12. 885 rem 14
  13. 561 rem 118
  14. 89 rem 60
  15. 298 rem 22
  16. 319 rem 1
  17. 201 rem 371
  18. 386 rem 593
  19. 618 rem 309
  20. 171 rem 88
  21. 387 rem 445
  22. 713 rem 28
  23. 354 rem 73
  24. 823 rem 637
  25. 249 rem 166
  26. 380 rem 545
  27. 222 rem 236
  28. 659 rem 351
  29. 98 rem 200
  30. 581 rem 3
  31. 859 rem 984
  32. 1021 rem 23
  33. 175 rem 643
  34. 64 rem 76
  35. 994 rem 82
  36. 1073 rem 4
  37. 654 rem 4
  38. 650 rem 2
  39. 752 rem 692
  40. 85 rem 4

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