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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 183 · 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. 1.240164 ÷ 897 =
  2. 2.15527 ÷ 98 =
  3. 3.239356 ÷ 998 =
  4. 4.63132 ÷ 88 =
  5. 5.4143 ÷ 8 =
  6. 6.58609 ÷ 88 =
  7. 7.10287 ÷ 98 =
  8. 8.10993 ÷ 96 =
  9. 9.183695 ÷ 997 =
  10. 10.14337 ÷ 97 =
  11. 11.150956 ÷ 989 =
  12. 12.235585 ÷ 988 =
  13. 13.99736 ÷ 98 =
  14. 14.9960 ÷ 8 =
  15. 15.396905 ÷ 998 =
  16. 16.406808 ÷ 997 =
  17. 17.6158 ÷ 8 =
  18. 18.65798 ÷ 96 =
  19. 19.3544 ÷ 8 =
  20. 20.462413 ÷ 997 =
  21. 21.25230 ÷ 88 =
  22. 22.53407 ÷ 97 =
  23. 23.11199 ÷ 97 =
  24. 24.89666 ÷ 96 =
  25. 25.192485 ÷ 988 =
  26. 26.68579 ÷ 88 =
  27. 27.13924 ÷ 96 =
  28. 28.126245 ÷ 897 =
  29. 29.35855 ÷ 89 =
  30. 30.56306 ÷ 988 =
  31. 31.14322 ÷ 88 =
  32. 32.52695 ÷ 88 =
  33. 33.30578 ÷ 98 =
  34. 34.280420 ÷ 997 =
  35. 35.95584 ÷ 88 =
  36. 36.51782 ÷ 88 =
  37. 37.80716 ÷ 98 =
  38. 38.42085 ÷ 89 =
  39. 39.9533 ÷ 8 =
  40. 40.805734 ÷ 989 =

Answer key

  1. 267 rem 665
  2. 158 rem 43
  3. 239 rem 834
  4. 717 rem 36
  5. 517 rem 7
  6. 666 rem 1
  7. 104 rem 95
  8. 114 rem 49
  9. 184 rem 247
  10. 147 rem 78
  11. 152 rem 628
  12. 238 rem 441
  13. 1017 rem 70
  14. 1245 rem 0
  15. 397 rem 699
  16. 408 rem 32
  17. 769 rem 6
  18. 685 rem 38
  19. 443 rem 0
  20. 463 rem 802
  21. 286 rem 62
  22. 550 rem 57
  23. 115 rem 44
  24. 934 rem 2
  25. 194 rem 813
  26. 779 rem 27
  27. 145 rem 4
  28. 140 rem 665
  29. 402 rem 77
  30. 56 rem 978
  31. 162 rem 66
  32. 598 rem 71
  33. 312 rem 2
  34. 281 rem 263
  35. 1086 rem 16
  36. 588 rem 38
  37. 823 rem 62
  38. 472 rem 77
  39. 1191 rem 5
  40. 814 rem 688

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