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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 896 · 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. 1.848632 ÷ 997 =
  2. 2.361283 ÷ 997 =
  3. 3.92043 ÷ 98 =
  4. 4.3336 ÷ 8 =
  5. 5.94388 ÷ 97 =
  6. 6.83415 ÷ 98 =
  7. 7.26016 ÷ 88 =
  8. 8.19320 ÷ 97 =
  9. 9.8965 ÷ 97 =
  10. 10.58657 ÷ 96 =
  11. 11.254013 ÷ 989 =
  12. 12.3067 ÷ 98 =
  13. 13.41518 ÷ 97 =
  14. 14.70496 ÷ 88 =
  15. 15.8964 ÷ 8 =
  16. 16.538184 ÷ 989 =
  17. 17.3881 ÷ 8 =
  18. 18.66069 ÷ 96 =
  19. 19.18163 ÷ 96 =
  20. 20.632 ÷ 8 =
  21. 21.119542 ÷ 988 =
  22. 22.442692 ÷ 897 =
  23. 23.578 ÷ 8 =
  24. 24.81532 ÷ 997 =
  25. 25.464705 ÷ 997 =
  26. 26.614635 ÷ 998 =
  27. 27.863908 ÷ 988 =
  28. 28.71478 ÷ 97 =
  29. 29.77550 ÷ 96 =
  30. 30.422179 ÷ 897 =
  31. 31.25615 ÷ 96 =
  32. 32.943013 ÷ 897 =
  33. 33.6958 ÷ 8 =
  34. 34.6338 ÷ 88 =
  35. 35.475069 ÷ 988 =
  36. 36.866630 ÷ 989 =
  37. 37.14288 ÷ 88 =
  38. 38.3669 ÷ 8 =
  39. 39.940224 ÷ 897 =
  40. 40.76187 ÷ 97 =

Answer key

  1. 851 rem 185
  2. 362 rem 369
  3. 939 rem 21
  4. 417 rem 0
  5. 973 rem 7
  6. 851 rem 17
  7. 295 rem 56
  8. 199 rem 17
  9. 92 rem 41
  10. 611 rem 1
  11. 256 rem 829
  12. 31 rem 29
  13. 428 rem 2
  14. 801 rem 8
  15. 1120 rem 4
  16. 544 rem 168
  17. 485 rem 1
  18. 688 rem 21
  19. 189 rem 19
  20. 79 rem 0
  21. 120 rem 982
  22. 493 rem 471
  23. 72 rem 2
  24. 81 rem 775
  25. 466 rem 103
  26. 615 rem 865
  27. 874 rem 396
  28. 736 rem 86
  29. 807 rem 78
  30. 470 rem 589
  31. 266 rem 79
  32. 1051 rem 266
  33. 869 rem 6
  34. 72 rem 2
  35. 480 rem 829
  36. 876 rem 266
  37. 162 rem 32
  38. 458 rem 5
  39. 1048 rem 168
  40. 785 rem 42

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