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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 648 · 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. 1.2912 ÷ 8 =
  2. 2.88327 ÷ 98 =
  3. 3.42364 ÷ 97 =
  4. 4.7759 ÷ 8 =
  5. 5.13125 ÷ 96 =
  6. 6.304523 ÷ 989 =
  7. 7.8061 ÷ 8 =
  8. 8.985757 ÷ 897 =
  9. 9.9893 ÷ 97 =
  10. 10.74803 ÷ 89 =
  11. 11.115350 ÷ 897 =
  12. 12.13666 ÷ 88 =
  13. 13.33090 ÷ 97 =
  14. 14.8508 ÷ 8 =
  15. 15.88364 ÷ 98 =
  16. 16.5382 ÷ 8 =
  17. 17.5441 ÷ 96 =
  18. 18.908156 ÷ 997 =
  19. 19.18145 ÷ 96 =
  20. 20.397102 ÷ 989 =
  21. 21.51190 ÷ 97 =
  22. 22.32815 ÷ 98 =
  23. 23.5433 ÷ 98 =
  24. 24.847883 ÷ 997 =
  25. 25.765683 ÷ 998 =
  26. 26.59816 ÷ 97 =
  27. 27.636888 ÷ 998 =
  28. 28.645508 ÷ 988 =
  29. 29.15249 ÷ 88 =
  30. 30.51923 ÷ 98 =
  31. 31.22668 ÷ 897 =
  32. 32.1791 ÷ 8 =
  33. 33.46270 ÷ 98 =
  34. 34.32068 ÷ 97 =
  35. 35.112676 ÷ 897 =
  36. 36.366970 ÷ 997 =
  37. 37.39303 ÷ 97 =
  38. 38.71371 ÷ 98 =
  39. 39.836111 ÷ 897 =
  40. 40.9670 ÷ 8 =

Answer key

  1. 364 rem 0
  2. 901 rem 29
  3. 436 rem 72
  4. 969 rem 7
  5. 136 rem 69
  6. 307 rem 900
  7. 1007 rem 5
  8. 1098 rem 851
  9. 101 rem 96
  10. 840 rem 43
  11. 128 rem 534
  12. 155 rem 26
  13. 341 rem 13
  14. 1063 rem 4
  15. 901 rem 66
  16. 672 rem 6
  17. 56 rem 65
  18. 910 rem 886
  19. 189 rem 1
  20. 401 rem 513
  21. 527 rem 71
  22. 334 rem 83
  23. 55 rem 43
  24. 850 rem 433
  25. 767 rem 217
  26. 616 rem 64
  27. 638 rem 164
  28. 653 rem 344
  29. 173 rem 25
  30. 529 rem 81
  31. 25 rem 243
  32. 223 rem 7
  33. 472 rem 14
  34. 330 rem 58
  35. 125 rem 551
  36. 368 rem 74
  37. 405 rem 18
  38. 728 rem 27
  39. 932 rem 107
  40. 1208 rem 6

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