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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 914 · 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. 1.224928 ÷ 997 =
  2. 2.43826 ÷ 989 =
  3. 3.65761 ÷ 97 =
  4. 4.24960 ÷ 97 =
  5. 5.23883 ÷ 88 =
  6. 6.3458 ÷ 96 =
  7. 7.47512 ÷ 98 =
  8. 8.138284 ÷ 998 =
  9. 9.86765 ÷ 989 =
  10. 10.47569 ÷ 97 =
  11. 11.69630 ÷ 88 =
  12. 12.7802 ÷ 8 =
  13. 13.8867 ÷ 89 =
  14. 14.93977 ÷ 988 =
  15. 15.49227 ÷ 98 =
  16. 16.10786 ÷ 998 =
  17. 17.93052 ÷ 88 =
  18. 18.255237 ÷ 997 =
  19. 19.6731 ÷ 8 =
  20. 20.520035 ÷ 897 =
  21. 21.975294 ÷ 988 =
  22. 22.3550 ÷ 89 =
  23. 23.1297 ÷ 8 =
  24. 24.45626 ÷ 88 =
  25. 25.537136 ÷ 997 =
  26. 26.431261 ÷ 989 =
  27. 27.95156 ÷ 88 =
  28. 28.80489 ÷ 96 =
  29. 29.504277 ÷ 998 =
  30. 30.766149 ÷ 988 =
  31. 31.327740 ÷ 988 =
  32. 32.90691 ÷ 88 =
  33. 33.702264 ÷ 998 =
  34. 34.892018 ÷ 997 =
  35. 35.37973 ÷ 89 =
  36. 36.155407 ÷ 998 =
  37. 37.963508 ÷ 998 =
  38. 38.2793 ÷ 8 =
  39. 39.965363 ÷ 897 =
  40. 40.46206 ÷ 98 =

Answer key

  1. 225 rem 603
  2. 44 rem 310
  3. 677 rem 92
  4. 257 rem 31
  5. 271 rem 35
  6. 36 rem 2
  7. 484 rem 80
  8. 138 rem 560
  9. 87 rem 722
  10. 490 rem 39
  11. 791 rem 22
  12. 975 rem 2
  13. 99 rem 56
  14. 95 rem 117
  15. 502 rem 31
  16. 10 rem 806
  17. 1057 rem 36
  18. 256 rem 5
  19. 841 rem 3
  20. 579 rem 672
  21. 987 rem 138
  22. 39 rem 79
  23. 162 rem 1
  24. 518 rem 42
  25. 538 rem 750
  26. 436 rem 57
  27. 1081 rem 28
  28. 838 rem 41
  29. 505 rem 287
  30. 775 rem 449
  31. 331 rem 712
  32. 1030 rem 51
  33. 703 rem 670
  34. 894 rem 700
  35. 426 rem 59
  36. 155 rem 717
  37. 965 rem 438
  38. 349 rem 1
  39. 1076 rem 191
  40. 471 rem 48

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