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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 878 · 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. 1.74513 ÷ 89 =
  2. 2.11303 ÷ 96 =
  3. 3.311983 ÷ 989 =
  4. 4.2465 ÷ 8 =
  5. 5.32459 ÷ 88 =
  6. 6.665849 ÷ 989 =
  7. 7.153822 ÷ 988 =
  8. 8.813279 ÷ 897 =
  9. 9.70857 ÷ 96 =
  10. 10.9953 ÷ 97 =
  11. 11.18431 ÷ 88 =
  12. 12.39990 ÷ 97 =
  13. 13.506593 ÷ 897 =
  14. 14.94911 ÷ 88 =
  15. 15.217410 ÷ 897 =
  16. 16.827974 ÷ 997 =
  17. 17.9456 ÷ 8 =
  18. 18.63763 ÷ 88 =
  19. 19.3392 ÷ 89 =
  20. 20.15159 ÷ 98 =
  21. 21.337397 ÷ 998 =
  22. 22.90592 ÷ 998 =
  23. 23.363853 ÷ 897 =
  24. 24.35807 ÷ 88 =
  25. 25.456823 ÷ 988 =
  26. 26.843476 ÷ 997 =
  27. 27.2301 ÷ 8 =
  28. 28.37980 ÷ 96 =
  29. 29.4025 ÷ 98 =
  30. 30.462456 ÷ 989 =
  31. 31.1488 ÷ 8 =
  32. 32.70849 ÷ 97 =
  33. 33.447651 ÷ 897 =
  34. 34.52066 ÷ 98 =
  35. 35.72587 ÷ 997 =
  36. 36.301557 ÷ 897 =
  37. 37.518116 ÷ 997 =
  38. 38.6812 ÷ 8 =
  39. 39.848044 ÷ 989 =
  40. 40.63368 ÷ 97 =

Answer key

  1. 837 rem 20
  2. 117 rem 71
  3. 315 rem 448
  4. 308 rem 1
  5. 368 rem 75
  6. 673 rem 252
  7. 155 rem 682
  8. 906 rem 597
  9. 738 rem 9
  10. 102 rem 59
  11. 209 rem 39
  12. 412 rem 26
  13. 564 rem 685
  14. 1078 rem 47
  15. 242 rem 336
  16. 830 rem 464
  17. 1182 rem 0
  18. 724 rem 51
  19. 38 rem 10
  20. 154 rem 67
  21. 338 rem 73
  22. 90 rem 772
  23. 405 rem 568
  24. 406 rem 79
  25. 462 rem 367
  26. 846 rem 14
  27. 287 rem 5
  28. 395 rem 60
  29. 41 rem 7
  30. 467 rem 593
  31. 186 rem 0
  32. 730 rem 39
  33. 499 rem 48
  34. 531 rem 28
  35. 72 rem 803
  36. 336 rem 165
  37. 519 rem 673
  38. 851 rem 4
  39. 857 rem 471
  40. 653 rem 27

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