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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 148 · 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. 1.26568 ÷ 98 =
  2. 2.29313 ÷ 89 =
  3. 3.71658 ÷ 89 =
  4. 4.610016 ÷ 997 =
  5. 5.40010 ÷ 88 =
  6. 6.698025 ÷ 998 =
  7. 7.69320 ÷ 989 =
  8. 8.459602 ÷ 989 =
  9. 9.11794 ÷ 98 =
  10. 10.80822 ÷ 97 =
  11. 11.23345 ÷ 98 =
  12. 12.22294 ÷ 97 =
  13. 13.555335 ÷ 989 =
  14. 14.511861 ÷ 997 =
  15. 15.11108 ÷ 988 =
  16. 16.34505 ÷ 88 =
  17. 17.2942 ÷ 97 =
  18. 18.56332 ÷ 96 =
  19. 19.55453 ÷ 98 =
  20. 20.989073 ÷ 989 =
  21. 21.70140 ÷ 96 =
  22. 22.2133 ÷ 89 =
  23. 23.881170 ÷ 989 =
  24. 24.80689 ÷ 88 =
  25. 25.29825 ÷ 98 =
  26. 26.213551 ÷ 988 =
  27. 27.194524 ÷ 998 =
  28. 28.163621 ÷ 897 =
  29. 29.762408 ÷ 989 =
  30. 30.127 ÷ 8 =
  31. 31.19646 ÷ 989 =
  32. 32.967 ÷ 8 =
  33. 33.536594 ÷ 997 =
  34. 34.90220 ÷ 98 =
  35. 35.26810 ÷ 89 =
  36. 36.8766 ÷ 8 =
  37. 37.55371 ÷ 89 =
  38. 38.842957 ÷ 989 =
  39. 39.46283 ÷ 96 =
  40. 40.94973 ÷ 98 =

Answer key

  1. 271 rem 10
  2. 329 rem 32
  3. 805 rem 13
  4. 611 rem 849
  5. 454 rem 58
  6. 699 rem 423
  7. 70 rem 90
  8. 464 rem 706
  9. 120 rem 34
  10. 833 rem 21
  11. 238 rem 21
  12. 229 rem 81
  13. 561 rem 506
  14. 513 rem 400
  15. 11 rem 240
  16. 392 rem 9
  17. 30 rem 32
  18. 586 rem 76
  19. 565 rem 83
  20. 1000 rem 73
  21. 730 rem 60
  22. 23 rem 86
  23. 890 rem 960
  24. 916 rem 81
  25. 304 rem 33
  26. 216 rem 143
  27. 194 rem 912
  28. 182 rem 367
  29. 770 rem 878
  30. 15 rem 7
  31. 19 rem 855
  32. 120 rem 7
  33. 538 rem 208
  34. 920 rem 60
  35. 301 rem 21
  36. 1095 rem 6
  37. 622 rem 13
  38. 852 rem 329
  39. 482 rem 11
  40. 969 rem 11

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