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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 191 · 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. 1.524970 ÷ 897 =
  2. 2.213469 ÷ 998 =
  3. 3.10602 ÷ 97 =
  4. 4.573237 ÷ 988 =
  5. 5.859603 ÷ 998 =
  6. 6.99643 ÷ 96 =
  7. 7.5621 ÷ 8 =
  8. 8.933248 ÷ 988 =
  9. 9.27680 ÷ 988 =
  10. 10.454862 ÷ 989 =
  11. 11.866871 ÷ 997 =
  12. 12.18380 ÷ 97 =
  13. 13.5281 ÷ 8 =
  14. 14.10508 ÷ 97 =
  15. 15.67741 ÷ 88 =
  16. 16.96606 ÷ 89 =
  17. 17.267696 ÷ 997 =
  18. 18.98121 ÷ 988 =
  19. 19.88719 ÷ 98 =
  20. 20.34282 ÷ 96 =
  21. 21.225812 ÷ 998 =
  22. 22.514567 ÷ 998 =
  23. 23.17874 ÷ 96 =
  24. 24.384359 ÷ 997 =
  25. 25.965476 ÷ 988 =
  26. 26.370175 ÷ 997 =
  27. 27.692901 ÷ 998 =
  28. 28.61603 ÷ 97 =
  29. 29.154374 ÷ 997 =
  30. 30.8097 ÷ 89 =
  31. 31.358587 ÷ 997 =
  32. 32.703173 ÷ 897 =
  33. 33.572809 ÷ 989 =
  34. 34.17753 ÷ 89 =
  35. 35.603182 ÷ 998 =
  36. 36.60705 ÷ 96 =
  37. 37.51296 ÷ 989 =
  38. 38.874390 ÷ 897 =
  39. 39.2452 ÷ 97 =
  40. 40.51710 ÷ 89 =

Answer key

  1. 585 rem 225
  2. 213 rem 895
  3. 109 rem 29
  4. 580 rem 197
  5. 861 rem 325
  6. 1037 rem 91
  7. 702 rem 5
  8. 944 rem 576
  9. 28 rem 16
  10. 459 rem 911
  11. 869 rem 478
  12. 189 rem 47
  13. 660 rem 1
  14. 108 rem 32
  15. 769 rem 69
  16. 1085 rem 41
  17. 268 rem 500
  18. 99 rem 309
  19. 905 rem 29
  20. 357 rem 10
  21. 226 rem 264
  22. 515 rem 597
  23. 186 rem 18
  24. 385 rem 514
  25. 977 rem 200
  26. 371 rem 288
  27. 694 rem 289
  28. 635 rem 8
  29. 154 rem 836
  30. 90 rem 87
  31. 359 rem 664
  32. 783 rem 822
  33. 579 rem 178
  34. 199 rem 42
  35. 604 rem 390
  36. 632 rem 33
  37. 51 rem 857
  38. 974 rem 712
  39. 25 rem 27
  40. 581 rem 1

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