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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 323 · 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. 1.358824 ÷ 989 =
  2. 2.38398 ÷ 88 =
  3. 3.46071 ÷ 97 =
  4. 4.183036 ÷ 897 =
  5. 5.52724 ÷ 88 =
  6. 6.200665 ÷ 997 =
  7. 7.194384 ÷ 988 =
  8. 8.10710 ÷ 89 =
  9. 9.466084 ÷ 897 =
  10. 10.690904 ÷ 998 =
  11. 11.83423 ÷ 98 =
  12. 12.72850 ÷ 98 =
  13. 13.41858 ÷ 97 =
  14. 14.384804 ÷ 897 =
  15. 15.63263 ÷ 89 =
  16. 16.691592 ÷ 989 =
  17. 17.473050 ÷ 998 =
  18. 18.825073 ÷ 998 =
  19. 19.194030 ÷ 989 =
  20. 20.57754 ÷ 88 =
  21. 21.18456 ÷ 88 =
  22. 22.4231 ÷ 8 =
  23. 23.970189 ÷ 989 =
  24. 24.3225 ÷ 98 =
  25. 25.5944 ÷ 8 =
  26. 26.924886 ÷ 997 =
  27. 27.74079 ÷ 97 =
  28. 28.38496 ÷ 96 =
  29. 29.575616 ÷ 989 =
  30. 30.8550 ÷ 89 =
  31. 31.4772 ÷ 96 =
  32. 32.41148 ÷ 98 =
  33. 33.9290 ÷ 97 =
  34. 34.357674 ÷ 997 =
  35. 35.43024 ÷ 97 =
  36. 36.45731 ÷ 88 =
  37. 37.4375 ÷ 8 =
  38. 38.412435 ÷ 897 =
  39. 39.66979 ÷ 97 =
  40. 40.387762 ÷ 897 =

Answer key

  1. 362 rem 806
  2. 436 rem 30
  3. 474 rem 93
  4. 204 rem 48
  5. 599 rem 12
  6. 201 rem 268
  7. 196 rem 736
  8. 120 rem 30
  9. 519 rem 541
  10. 692 rem 288
  11. 851 rem 25
  12. 743 rem 36
  13. 431 rem 51
  14. 428 rem 888
  15. 710 rem 73
  16. 699 rem 281
  17. 473 rem 996
  18. 826 rem 725
  19. 196 rem 186
  20. 656 rem 26
  21. 209 rem 64
  22. 528 rem 7
  23. 980 rem 969
  24. 32 rem 89
  25. 743 rem 0
  26. 927 rem 667
  27. 763 rem 68
  28. 401 rem 0
  29. 582 rem 18
  30. 96 rem 6
  31. 49 rem 68
  32. 419 rem 86
  33. 95 rem 75
  34. 358 rem 748
  35. 443 rem 53
  36. 519 rem 59
  37. 546 rem 7
  38. 459 rem 712
  39. 690 rem 49
  40. 432 rem 258

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