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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 729 · 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. 1.95690 ÷ 88 =
  2. 2.433053 ÷ 897 =
  3. 3.8585 ÷ 96 =
  4. 4.21137 ÷ 89 =
  5. 5.36920 ÷ 89 =
  6. 6.980438 ÷ 997 =
  7. 7.270929 ÷ 998 =
  8. 8.108337 ÷ 988 =
  9. 9.244872 ÷ 989 =
  10. 10.52969 ÷ 88 =
  11. 11.60874 ÷ 89 =
  12. 12.936472 ÷ 998 =
  13. 13.257209 ÷ 998 =
  14. 14.1296 ÷ 8 =
  15. 15.5829 ÷ 8 =
  16. 16.992957 ÷ 897 =
  17. 17.542736 ÷ 989 =
  18. 18.356831 ÷ 989 =
  19. 19.36737 ÷ 988 =
  20. 20.851311 ÷ 897 =
  21. 21.18576 ÷ 96 =
  22. 22.44286 ÷ 96 =
  23. 23.10375 ÷ 96 =
  24. 24.189903 ÷ 997 =
  25. 25.3279 ÷ 8 =
  26. 26.1626 ÷ 8 =
  27. 27.78751 ÷ 997 =
  28. 28.42112 ÷ 96 =
  29. 29.268683 ÷ 897 =
  30. 30.77976 ÷ 88 =
  31. 31.48456 ÷ 989 =
  32. 32.4662 ÷ 8 =
  33. 33.3260 ÷ 8 =
  34. 34.27271 ÷ 89 =
  35. 35.746849 ÷ 989 =
  36. 36.56184 ÷ 98 =
  37. 37.20561 ÷ 988 =
  38. 38.24328 ÷ 98 =
  39. 39.85579 ÷ 96 =
  40. 40.728052 ÷ 897 =

Answer key

  1. 1087 rem 34
  2. 482 rem 699
  3. 89 rem 41
  4. 237 rem 44
  5. 414 rem 74
  6. 983 rem 387
  7. 271 rem 471
  8. 109 rem 645
  9. 247 rem 589
  10. 601 rem 81
  11. 683 rem 87
  12. 938 rem 348
  13. 257 rem 723
  14. 162 rem 0
  15. 728 rem 5
  16. 1106 rem 875
  17. 548 rem 764
  18. 360 rem 791
  19. 37 rem 181
  20. 949 rem 58
  21. 193 rem 48
  22. 461 rem 30
  23. 108 rem 7
  24. 190 rem 473
  25. 409 rem 7
  26. 203 rem 2
  27. 78 rem 985
  28. 438 rem 64
  29. 299 rem 480
  30. 886 rem 8
  31. 48 rem 984
  32. 582 rem 6
  33. 407 rem 4
  34. 306 rem 37
  35. 755 rem 154
  36. 573 rem 30
  37. 20 rem 801
  38. 248 rem 24
  39. 891 rem 43
  40. 811 rem 585

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