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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 239 · 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. 1.32806 ÷ 89 =
  2. 2.79950 ÷ 97 =
  3. 3.793496 ÷ 897 =
  4. 4.167668 ÷ 988 =
  5. 5.10282 ÷ 89 =
  6. 6.704 ÷ 8 =
  7. 7.458027 ÷ 989 =
  8. 8.31833 ÷ 97 =
  9. 9.85451 ÷ 96 =
  10. 10.60108 ÷ 88 =
  11. 11.2680 ÷ 8 =
  12. 12.59092 ÷ 989 =
  13. 13.46369 ÷ 88 =
  14. 14.11291 ÷ 96 =
  15. 15.87518 ÷ 88 =
  16. 16.242587 ÷ 988 =
  17. 17.81386 ÷ 98 =
  18. 18.49183 ÷ 88 =
  19. 19.85375 ÷ 89 =
  20. 20.93903 ÷ 98 =
  21. 21.86441 ÷ 96 =
  22. 22.7933 ÷ 96 =
  23. 23.99532 ÷ 96 =
  24. 24.499075 ÷ 989 =
  25. 25.180268 ÷ 997 =
  26. 26.98420 ÷ 897 =
  27. 27.132005 ÷ 897 =
  28. 28.295906 ÷ 897 =
  29. 29.85343 ÷ 97 =
  30. 30.820937 ÷ 997 =
  31. 31.182547 ÷ 988 =
  32. 32.5628 ÷ 97 =
  33. 33.47283 ÷ 98 =
  34. 34.8282 ÷ 8 =
  35. 35.12872 ÷ 98 =
  36. 36.7551 ÷ 8 =
  37. 37.381047 ÷ 997 =
  38. 38.486722 ÷ 897 =
  39. 39.83269 ÷ 89 =
  40. 40.69037 ÷ 98 =

Answer key

  1. 368 rem 54
  2. 824 rem 22
  3. 884 rem 548
  4. 169 rem 696
  5. 115 rem 47
  6. 88 rem 0
  7. 463 rem 120
  8. 328 rem 17
  9. 890 rem 11
  10. 683 rem 4
  11. 335 rem 0
  12. 59 rem 741
  13. 526 rem 81
  14. 117 rem 59
  15. 994 rem 46
  16. 245 rem 527
  17. 830 rem 46
  18. 558 rem 79
  19. 959 rem 24
  20. 958 rem 19
  21. 900 rem 41
  22. 82 rem 61
  23. 1036 rem 76
  24. 504 rem 619
  25. 180 rem 808
  26. 109 rem 647
  27. 147 rem 146
  28. 329 rem 793
  29. 879 rem 80
  30. 823 rem 406
  31. 184 rem 755
  32. 58 rem 2
  33. 482 rem 47
  34. 1035 rem 2
  35. 131 rem 34
  36. 943 rem 7
  37. 382 rem 193
  38. 542 rem 548
  39. 935 rem 54
  40. 704 rem 45

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