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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 574 · 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. 1.8815 ÷ 89 =
  2. 2.92093 ÷ 98 =
  3. 3.682485 ÷ 997 =
  4. 4.93557 ÷ 89 =
  5. 5.736238 ÷ 997 =
  6. 6.952 ÷ 8 =
  7. 7.501605 ÷ 997 =
  8. 8.155371 ÷ 897 =
  9. 9.180771 ÷ 997 =
  10. 10.706612 ÷ 997 =
  11. 11.16754 ÷ 988 =
  12. 12.24563 ÷ 97 =
  13. 13.1445 ÷ 98 =
  14. 14.608685 ÷ 997 =
  15. 15.596482 ÷ 997 =
  16. 16.4486 ÷ 8 =
  17. 17.799151 ÷ 988 =
  18. 18.675600 ÷ 988 =
  19. 19.216379 ÷ 897 =
  20. 20.50831 ÷ 988 =
  21. 21.308986 ÷ 989 =
  22. 22.60596 ÷ 97 =
  23. 23.153237 ÷ 997 =
  24. 24.547637 ÷ 897 =
  25. 25.2371 ÷ 97 =
  26. 26.659811 ÷ 988 =
  27. 27.974582 ÷ 897 =
  28. 28.7830 ÷ 8 =
  29. 29.1294 ÷ 98 =
  30. 30.17545 ÷ 89 =
  31. 31.79215 ÷ 88 =
  32. 32.2890 ÷ 8 =
  33. 33.2599 ÷ 8 =
  34. 34.96221 ÷ 98 =
  35. 35.924853 ÷ 989 =
  36. 36.5096 ÷ 8 =
  37. 37.55335 ÷ 98 =
  38. 38.47756 ÷ 96 =
  39. 39.258261 ÷ 988 =
  40. 40.662640 ÷ 997 =

Answer key

  1. 99 rem 4
  2. 939 rem 71
  3. 684 rem 537
  4. 1051 rem 18
  5. 738 rem 452
  6. 119 rem 0
  7. 503 rem 114
  8. 173 rem 190
  9. 181 rem 314
  10. 708 rem 736
  11. 16 rem 946
  12. 253 rem 22
  13. 14 rem 73
  14. 610 rem 515
  15. 598 rem 276
  16. 560 rem 6
  17. 808 rem 847
  18. 683 rem 796
  19. 241 rem 202
  20. 51 rem 443
  21. 312 rem 418
  22. 624 rem 68
  23. 153 rem 696
  24. 610 rem 467
  25. 24 rem 43
  26. 667 rem 815
  27. 1086 rem 440
  28. 978 rem 6
  29. 13 rem 20
  30. 197 rem 12
  31. 900 rem 15
  32. 361 rem 2
  33. 324 rem 7
  34. 981 rem 83
  35. 935 rem 138
  36. 637 rem 0
  37. 564 rem 63
  38. 497 rem 44
  39. 261 rem 393
  40. 664 rem 632

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