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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 851 · 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. 1.168967 ÷ 998 =
  2. 2.315082 ÷ 989 =
  3. 3.77939 ÷ 98 =
  4. 4.671733 ÷ 988 =
  5. 5.346560 ÷ 988 =
  6. 6.242771 ÷ 988 =
  7. 7.70963 ÷ 98 =
  8. 8.85866 ÷ 89 =
  9. 9.72124 ÷ 998 =
  10. 10.409263 ÷ 989 =
  11. 11.5862 ÷ 96 =
  12. 12.737952 ÷ 997 =
  13. 13.57006 ÷ 88 =
  14. 14.11969 ÷ 98 =
  15. 15.583783 ÷ 988 =
  16. 16.324047 ÷ 897 =
  17. 17.58515 ÷ 88 =
  18. 18.247 ÷ 8 =
  19. 19.786418 ÷ 998 =
  20. 20.78714 ÷ 89 =
  21. 21.97994 ÷ 89 =
  22. 22.15304 ÷ 988 =
  23. 23.62742 ÷ 98 =
  24. 24.34262 ÷ 89 =
  25. 25.32497 ÷ 989 =
  26. 26.605911 ÷ 897 =
  27. 27.11458 ÷ 998 =
  28. 28.347859 ÷ 997 =
  29. 29.20065 ÷ 97 =
  30. 30.951643 ÷ 998 =
  31. 31.80485 ÷ 97 =
  32. 32.35991 ÷ 98 =
  33. 33.321044 ÷ 897 =
  34. 34.97629 ÷ 96 =
  35. 35.437826 ÷ 997 =
  36. 36.87298 ÷ 97 =
  37. 37.95688 ÷ 97 =
  38. 38.19206 ÷ 88 =
  39. 39.39506 ÷ 89 =
  40. 40.449687 ÷ 998 =

Answer key

  1. 169 rem 305
  2. 318 rem 580
  3. 795 rem 29
  4. 679 rem 881
  5. 350 rem 760
  6. 245 rem 711
  7. 724 rem 11
  8. 964 rem 70
  9. 72 rem 268
  10. 413 rem 806
  11. 61 rem 6
  12. 740 rem 172
  13. 647 rem 70
  14. 122 rem 13
  15. 590 rem 863
  16. 361 rem 230
  17. 664 rem 83
  18. 30 rem 7
  19. 787 rem 992
  20. 884 rem 38
  21. 1101 rem 5
  22. 15 rem 484
  23. 640 rem 22
  24. 384 rem 86
  25. 32 rem 849
  26. 675 rem 436
  27. 11 rem 480
  28. 348 rem 903
  29. 206 rem 83
  30. 953 rem 549
  31. 829 rem 72
  32. 367 rem 25
  33. 357 rem 815
  34. 1016 rem 93
  35. 439 rem 143
  36. 899 rem 95
  37. 986 rem 46
  38. 218 rem 22
  39. 443 rem 79
  40. 450 rem 587

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