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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 584 · 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. 1.367937 ÷ 997 =
  2. 2.79172 ÷ 88 =
  3. 3.29772 ÷ 96 =
  4. 4.99532 ÷ 89 =
  5. 5.49881 ÷ 988 =
  6. 6.17556 ÷ 89 =
  7. 7.11546 ÷ 997 =
  8. 8.401835 ÷ 997 =
  9. 9.365316 ÷ 997 =
  10. 10.955081 ÷ 997 =
  11. 11.77362 ÷ 89 =
  12. 12.40329 ÷ 97 =
  13. 13.68623 ÷ 97 =
  14. 14.1025 ÷ 8 =
  15. 15.584462 ÷ 897 =
  16. 16.383543 ÷ 897 =
  17. 17.391860 ÷ 988 =
  18. 18.19544 ÷ 88 =
  19. 19.94022 ÷ 96 =
  20. 20.821061 ÷ 989 =
  21. 21.65187 ÷ 98 =
  22. 22.12915 ÷ 96 =
  23. 23.179027 ÷ 998 =
  24. 24.642962 ÷ 897 =
  25. 25.795860 ÷ 998 =
  26. 26.590089 ÷ 897 =
  27. 27.690969 ÷ 998 =
  28. 28.969135 ÷ 989 =
  29. 29.280235 ÷ 997 =
  30. 30.687056 ÷ 988 =
  31. 31.17997 ÷ 98 =
  32. 32.29492 ÷ 96 =
  33. 33.36159 ÷ 98 =
  34. 34.480343 ÷ 989 =
  35. 35.57665 ÷ 98 =
  36. 36.63316 ÷ 96 =
  37. 37.29643 ÷ 88 =
  38. 38.60142 ÷ 89 =
  39. 39.77785 ÷ 97 =
  40. 40.46735 ÷ 97 =

Answer key

  1. 369 rem 44
  2. 899 rem 60
  3. 310 rem 12
  4. 1118 rem 30
  5. 50 rem 481
  6. 197 rem 23
  7. 11 rem 579
  8. 403 rem 44
  9. 366 rem 414
  10. 957 rem 952
  11. 869 rem 21
  12. 415 rem 74
  13. 707 rem 44
  14. 128 rem 1
  15. 651 rem 515
  16. 427 rem 524
  17. 396 rem 612
  18. 222 rem 8
  19. 979 rem 38
  20. 830 rem 191
  21. 665 rem 17
  22. 134 rem 51
  23. 179 rem 385
  24. 716 rem 710
  25. 797 rem 454
  26. 657 rem 760
  27. 692 rem 353
  28. 979 rem 904
  29. 281 rem 78
  30. 695 rem 396
  31. 183 rem 63
  32. 307 rem 20
  33. 368 rem 95
  34. 485 rem 678
  35. 588 rem 41
  36. 659 rem 52
  37. 336 rem 75
  38. 675 rem 67
  39. 801 rem 88
  40. 481 rem 78

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