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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 753 · 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. 1.341017 ÷ 997 =
  2. 2.78411 ÷ 98 =
  3. 3.15992 ÷ 97 =
  4. 4.43928 ÷ 97 =
  5. 5.4011 ÷ 8 =
  6. 6.774062 ÷ 998 =
  7. 7.10362 ÷ 998 =
  8. 8.410334 ÷ 988 =
  9. 9.63528 ÷ 88 =
  10. 10.112188 ÷ 897 =
  11. 11.33366 ÷ 97 =
  12. 12.74639 ÷ 88 =
  13. 13.637432 ÷ 997 =
  14. 14.595810 ÷ 897 =
  15. 15.28144 ÷ 98 =
  16. 16.74814 ÷ 98 =
  17. 17.104690 ÷ 989 =
  18. 18.85891 ÷ 88 =
  19. 19.60823 ÷ 89 =
  20. 20.151324 ÷ 998 =
  21. 21.399503 ÷ 989 =
  22. 22.4136 ÷ 97 =
  23. 23.73990 ÷ 88 =
  24. 24.32032 ÷ 98 =
  25. 25.5941 ÷ 89 =
  26. 26.122521 ÷ 988 =
  27. 27.94286 ÷ 98 =
  28. 28.42026 ÷ 988 =
  29. 29.18681 ÷ 97 =
  30. 30.369781 ÷ 988 =
  31. 31.90017 ÷ 998 =
  32. 32.29901 ÷ 98 =
  33. 33.70835 ÷ 96 =
  34. 34.46224 ÷ 98 =
  35. 35.22551 ÷ 988 =
  36. 36.977919 ÷ 988 =
  37. 37.61504 ÷ 989 =
  38. 38.13231 ÷ 96 =
  39. 39.672981 ÷ 998 =
  40. 40.98503 ÷ 98 =

Answer key

  1. 342 rem 43
  2. 800 rem 11
  3. 164 rem 84
  4. 452 rem 84
  5. 501 rem 3
  6. 775 rem 612
  7. 10 rem 382
  8. 415 rem 314
  9. 721 rem 80
  10. 125 rem 63
  11. 343 rem 95
  12. 848 rem 15
  13. 639 rem 349
  14. 664 rem 202
  15. 287 rem 18
  16. 763 rem 40
  17. 105 rem 845
  18. 976 rem 3
  19. 683 rem 36
  20. 151 rem 626
  21. 403 rem 936
  22. 42 rem 62
  23. 840 rem 70
  24. 326 rem 84
  25. 66 rem 67
  26. 124 rem 9
  27. 962 rem 10
  28. 42 rem 530
  29. 192 rem 57
  30. 374 rem 269
  31. 90 rem 197
  32. 305 rem 11
  33. 737 rem 83
  34. 471 rem 66
  35. 22 rem 815
  36. 989 rem 787
  37. 62 rem 186
  38. 137 rem 79
  39. 674 rem 329
  40. 1005 rem 13

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