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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 321 · 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. 1.3673 ÷ 8 =
  2. 2.974175 ÷ 989 =
  3. 3.51429 ÷ 96 =
  4. 4.750298 ÷ 997 =
  5. 5.756410 ÷ 997 =
  6. 6.297542 ÷ 997 =
  7. 7.483333 ÷ 897 =
  8. 8.526748 ÷ 988 =
  9. 9.75465 ÷ 89 =
  10. 10.12018 ÷ 89 =
  11. 11.13017 ÷ 88 =
  12. 12.54176 ÷ 97 =
  13. 13.21072 ÷ 97 =
  14. 14.723875 ÷ 998 =
  15. 15.3346 ÷ 98 =
  16. 16.736511 ÷ 997 =
  17. 17.19835 ÷ 96 =
  18. 18.62502 ÷ 96 =
  19. 19.770977 ÷ 997 =
  20. 20.556321 ÷ 998 =
  21. 21.574762 ÷ 998 =
  22. 22.833 ÷ 8 =
  23. 23.49259 ÷ 97 =
  24. 24.9682 ÷ 8 =
  25. 25.93947 ÷ 89 =
  26. 26.5128 ÷ 8 =
  27. 27.211370 ÷ 989 =
  28. 28.92581 ÷ 96 =
  29. 29.701414 ÷ 897 =
  30. 30.886336 ÷ 988 =
  31. 31.284378 ÷ 897 =
  32. 32.74520 ÷ 89 =
  33. 33.300994 ÷ 988 =
  34. 34.389158 ÷ 997 =
  35. 35.940141 ÷ 989 =
  36. 36.559128 ÷ 997 =
  37. 37.5120 ÷ 89 =
  38. 38.94284 ÷ 97 =
  39. 39.75604 ÷ 97 =
  40. 40.1376 ÷ 8 =

Answer key

  1. 459 rem 1
  2. 985 rem 10
  3. 535 rem 69
  4. 752 rem 554
  5. 758 rem 684
  6. 298 rem 436
  7. 538 rem 747
  8. 533 rem 144
  9. 847 rem 82
  10. 135 rem 3
  11. 147 rem 81
  12. 558 rem 50
  13. 217 rem 23
  14. 725 rem 325
  15. 34 rem 14
  16. 738 rem 725
  17. 206 rem 59
  18. 651 rem 6
  19. 773 rem 296
  20. 557 rem 435
  21. 575 rem 912
  22. 104 rem 1
  23. 507 rem 80
  24. 1210 rem 2
  25. 1055 rem 52
  26. 641 rem 0
  27. 213 rem 713
  28. 964 rem 37
  29. 781 rem 857
  30. 897 rem 100
  31. 317 rem 29
  32. 837 rem 27
  33. 304 rem 642
  34. 390 rem 328
  35. 950 rem 591
  36. 560 rem 808
  37. 57 rem 47
  38. 972 rem 0
  39. 779 rem 41
  40. 172 rem 0

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