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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 863 · 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. 1.58426 ÷ 97 =
  2. 2.8302 ÷ 8 =
  3. 3.552758 ÷ 989 =
  4. 4.478359 ÷ 988 =
  5. 5.55472 ÷ 97 =
  6. 6.991766 ÷ 897 =
  7. 7.572673 ÷ 988 =
  8. 8.952443 ÷ 997 =
  9. 9.78387 ÷ 98 =
  10. 10.2358 ÷ 8 =
  11. 11.236995 ÷ 897 =
  12. 12.25439 ÷ 96 =
  13. 13.8959 ÷ 96 =
  14. 14.69825 ÷ 96 =
  15. 15.66185 ÷ 97 =
  16. 16.275949 ÷ 998 =
  17. 17.28509 ÷ 89 =
  18. 18.26045 ÷ 96 =
  19. 19.19756 ÷ 88 =
  20. 20.9749 ÷ 8 =
  21. 21.74453 ÷ 97 =
  22. 22.33417 ÷ 98 =
  23. 23.81410 ÷ 88 =
  24. 24.977758 ÷ 988 =
  25. 25.44916 ÷ 88 =
  26. 26.5056 ÷ 8 =
  27. 27.7385 ÷ 8 =
  28. 28.271380 ÷ 989 =
  29. 29.937534 ÷ 988 =
  30. 30.3759 ÷ 8 =
  31. 31.58481 ÷ 89 =
  32. 32.37563 ÷ 89 =
  33. 33.71343 ÷ 98 =
  34. 34.760404 ÷ 989 =
  35. 35.51998 ÷ 97 =
  36. 36.439204 ÷ 897 =
  37. 37.43848 ÷ 89 =
  38. 38.66990 ÷ 998 =
  39. 39.1211 ÷ 8 =
  40. 40.84803 ÷ 96 =

Answer key

  1. 602 rem 32
  2. 1037 rem 6
  3. 558 rem 896
  4. 484 rem 167
  5. 571 rem 85
  6. 1105 rem 581
  7. 579 rem 621
  8. 955 rem 308
  9. 799 rem 85
  10. 294 rem 6
  11. 264 rem 187
  12. 264 rem 95
  13. 93 rem 31
  14. 727 rem 33
  15. 682 rem 31
  16. 276 rem 501
  17. 320 rem 29
  18. 271 rem 29
  19. 224 rem 44
  20. 1218 rem 5
  21. 767 rem 54
  22. 340 rem 97
  23. 925 rem 10
  24. 989 rem 626
  25. 510 rem 36
  26. 632 rem 0
  27. 923 rem 1
  28. 274 rem 394
  29. 948 rem 910
  30. 469 rem 7
  31. 657 rem 8
  32. 422 rem 5
  33. 727 rem 97
  34. 768 rem 852
  35. 536 rem 6
  36. 489 rem 571
  37. 492 rem 60
  38. 67 rem 124
  39. 151 rem 3
  40. 883 rem 35

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